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674968120 = 235231574673
BaseRepresentation
bin101000001110110…
…011001000111000
31202001001221012021
4220032303020320
52340242434440
6150550524224
722504064041
oct5016631070
91661057167
10674968120
113170025a2
1216a066674
13a9ab6828
14658dd8c8
153e3ca84a
hex283b3238

674968120 has 64 divisors (see below), whose sum is σ = 1595142720. Its totient is φ = 256548864.

The previous prime is 674968087. The next prime is 674968121. The reversal of 674968120 is 21869476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674968121) 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 15 ways as a sum of consecutive naturals, for example, 142104 + ... + 146776.

It is an arithmetic number, because the mean of its divisors is an integer number (24924105).

Almost surely, 2674968120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 674968120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797571360).

674968120 is an abundant number, since it is smaller than the sum of its proper divisors (920174600).

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

674968120 is a wasteful number, since it uses less digits than its factorization.

674968120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 674968120 is about 25980.1485754027. The cubic root of 674968120 is about 877.1915112190.

The spelling of 674968120 in words is "six hundred seventy-four million, nine hundred sixty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 157 184 230 314 460 628 785 920 1256 1570 3140 3611 4673 6280 7222 9346 14444 18055 18692 23365 28888 36110 37384 46730 72220 93460 107479 144440 186920 214958 429916 537395 733661 859832 1074790 1467322 2149580 2934644 3668305 4299160 5869288 7336610 14673220 16874203 29346440 33748406 67496812 84371015 134993624 168742030 337484060 674968120