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674665152 = 26373116193
BaseRepresentation
bin101000001101101…
…001001011000000
31202000111112121020
4220031221023000
52340203241102
6150540225440
722501362540
oct5015511300
91660445536
10674665152
11316915a07
12169b3b280
13a9a0b965
1465861320
153e36abbc
hex283692c0

674665152 has 112 divisors (see below), whose sum is σ = 2105997312. Its totient is φ = 186531840.

The previous prime is 674665139. The next prime is 674665157. The reversal of 674665152 is 251566476.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (674665157) 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, 33568 + ... + 49760.

Almost surely, 2674665152 is an apocalyptic number.

674665152 is a gapful number since it is divisible by the number (62) 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 674665152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052998656).

674665152 is an abundant number, since it is smaller than the sum of its proper divisors (1431332160).

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

674665152 is a wasteful number, since it uses less digits than its factorization.

674665152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16246 (or 16236 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 674665152 is about 25974.3171613808. The cubic root of 674665152 is about 877.0602453990.

The spelling of 674665152 in words is "six hundred seventy-four million, six hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5952 6944 10416 13888 16193 20832 32386 41664 48579 64772 97158 113351 129544 194316 226702 259088 340053 388632 453404 501983 518176 680106 777264 906808 1003966 1036352 1360212 1505949 1554528 1813616 2007932 2720424 3011898 3109056 3513881 3627232 4015864 5440848 6023796 7027762 7254464 8031728 10541643 10881696 12047592 14055524 16063456 21083286 21763392 24095184 28111048 32126912 42166572 48190368 56222096 84333144 96380736 112444192 168666288 224888384 337332576 674665152