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674960640 = 28351371283
BaseRepresentation
bin101000001110110…
…001010100000000
31202001001112221020
4220032301110000
52340242220030
6150550425440
722504033164
oct5016612400
91661045836
10674960640
11316aa7a12
1216a062280
13a9ab32c3
14658daca4
153e3c8510
hex283b1500

674960640 has 144 divisors (see below), whose sum is σ = 2173082688. Its totient is φ = 178536448.

The previous prime is 674960621. The next prime is 674960641. The reversal of 674960640 is 46069476.

It is a junction number, because it is equal to n+sod(n) for n = 674960592 and 674960601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674960641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525439 + ... + 526721.

It is an arithmetic number, because the mean of its divisors is an integer number (15090852).

Almost surely, 2674960640 is an apocalyptic number.

674960640 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 674960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086541344).

674960640 is an abundant number, since it is smaller than the sum of its proper divisors (1498122048).

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

674960640 is a wasteful number, since it uses less digits than its factorization.

674960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 674960640 is about 25980.0046189372. The cubic root of 674960640 is about 877.1882708601.

The spelling of 674960640 in words is "six hundred seventy-four million, nine hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 137 160 192 240 256 274 320 384 411 480 548 640 685 768 822 960 1096 1280 1283 1370 1644 1920 2055 2192 2566 2740 3288 3840 3849 4110 4384 5132 5480 6415 6576 7698 8220 8768 10264 10960 12830 13152 15396 16440 17536 19245 20528 21920 25660 26304 30792 32880 35072 38490 41056 43840 51320 52608 61584 65760 76980 82112 87680 102640 105216 123168 131520 153960 164224 175360 175771 205280 246336 263040 307920 328448 351542 410560 492672 526080 527313 615840 703084 821120 878855 985344 1054626 1231680 1406168 1642240 1757710 2109252 2463360 2636565 2812336 3515420 4218504 4926720 5273130 5624672 7030840 8437008 10546260 11249344 14061680 16874016 21092520 22498688 28123360 33748032 42185040 44997376 56246720 67496064 84370080 112493440 134992128 168740160 224986880 337480320 674960640