Search a number
-
+
694880640 = 2733540213
BaseRepresentation
bin101001011010110…
…000100110000000
31210102112121001000
4221122300212000
52410342140030
6152541412000
723135250036
oct5132604600
91712477030
10694880640
11327273123
1217486a000
13b0c6919c
1468404556
1541010860
hex296b0980

694880640 has 128 divisors (see below), whose sum is σ = 2461096800. Its totient is φ = 185296896.

The previous prime is 694880633. The next prime is 694880647. The reversal of 694880640 is 46088496.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (694880633) and next prime (694880647).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (694880647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2827 + ... + 37386.

Almost surely, 2694880640 is an apocalyptic number.

694880640 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 694880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230548400).

694880640 is an abundant number, since it is smaller than the sum of its proper divisors (1766216160).

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

694880640 is a wasteful number, since it uses less digits than its factorization.

694880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40241 (or 40223 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 694880640 is about 26360.5887642898. The cubic root of 694880640 is about 885.7341796235.

The spelling of 694880640 in words is "six hundred ninety-four million, eight hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 40213 80426 120639 160852 201065 241278 321704 361917 402130 482556 603195 643408 723834 804260 965112 1085751 1206390 1286816 1447668 1608520 1809585 1930224 2171502 2412780 2573632 2895336 3217040 3619170 3860448 4343004 4825560 5147264 5428755 5790672 6434080 7238340 7720896 8686008 9651120 10857510 11581344 12868160 14476680 15441792 17372016 19302240 21715020 23162688 25736320 28953360 34744032 38604480 43430040 46325376 57906720 69488064 77208960 86860080 115813440 138976128 173720160 231626880 347440320 694880640