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690196320 = 253251143573
BaseRepresentation
bin101001001000111…
…000111101100000
31210002201121100200
4221020320331200
52403142240240
6152253145200
723050400112
oct5110707540
91702647320
10690196320
11324663790
1217318b200
13accb8cb8
14679453b2
15408d7930
hex29238f60

690196320 has 144 divisors (see below), whose sum is σ = 2569471632. Its totient is φ = 167316480.

The previous prime is 690196319. The next prime is 690196321. The reversal of 690196320 is 23691096.

690196320 is a `hidden beast` number, since 6 + 9 + 0 + 19 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (690196319) and next prime (690196321).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690196321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5947 + ... + 37626.

It is an arithmetic number, because the mean of its divisors is an integer number (17843553).

Almost surely, 2690196320 is an apocalyptic number.

690196320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690196320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284735816).

690196320 is an abundant number, since it is smaller than the sum of its proper divisors (1879275312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

690196320 is a wasteful number, since it uses less digits than its factorization.

690196320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43605 (or 43594 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 690196320 is about 26271.5876946941. The cubic root of 690196320 is about 883.7393907020.

The spelling of 690196320 in words is "six hundred ninety million, one hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 43573 87146 130719 174292 217865 261438 348584 392157 435730 479303 522876 653595 697168 784314 871460 958606 1045752 1307190 1394336 1437909 1568628 1742920 1917212 1960785 2091504 2396515 2614380 2875818 3137256 3485840 3834424 3921570 4183008 4313727 4793030 5228760 5751636 6274512 6971680 7189545 7668848 7843140 8627454 9586060 10457520 11503272 12549024 14379090 15337696 15686280 17254908 19172120 20915040 21568635 23006544 28758180 31372560 34509816 38344240 43137270 46013088 57516360 62745120 69019632 76688480 86274540 115032720 138039264 172549080 230065440 345098160 690196320