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96701904 = 24331367257
BaseRepresentation
bin1011100001110…
…00110111010000
320201221222002000
411300320313100
5144223430104
613332354000
72252644515
oct560706720
9221858060
1096701904
114a649632
1228475900
131705a580
14cbb330c
158752639
hex5c38dd0

96701904 has 160 divisors (see below), whose sum is σ = 304563840. Its totient is φ = 29196288.

The previous prime is 96701893. The next prime is 96701909. The reversal of 96701904 is 40910769.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (96701909) 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 31 ways as a sum of consecutive naturals, for example, 376144 + ... + 376400.

It is an arithmetic number, because the mean of its divisors is an integer number (1903524).

Almost surely, 296701904 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 96701904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152281920).

96701904 is an abundant number, since it is smaller than the sum of its proper divisors (207861936).

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

96701904 is a wasteful number, since it uses less digits than its factorization.

96701904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 96701904 is about 9833.7126254533. The cubic root of 96701904 is about 458.9989320322.

The spelling of 96701904 in words is "ninety-six million, seven hundred one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 67 72 78 104 108 117 134 144 156 201 208 216 234 257 268 312 351 402 432 468 514 536 603 624 702 771 804 871 936 1028 1072 1206 1404 1542 1608 1742 1809 1872 2056 2313 2412 2613 2808 3084 3216 3341 3484 3618 4112 4626 4824 5226 5616 6168 6682 6939 6968 7236 7839 9252 9648 10023 10452 12336 13364 13878 13936 14472 15678 17219 18504 20046 20904 23517 26728 27756 28944 30069 31356 34438 37008 40092 41808 47034 51657 53456 55512 60138 62712 68876 80184 90207 94068 103314 111024 120276 125424 137752 154971 160368 180414 188136 206628 223847 240552 275504 309942 360828 376272 413256 447694 464913 481104 619884 671541 721656 826512 895388 929826 1239768 1343082 1443312 1790776 1859652 2014623 2479536 2686164 3581552 3719304 4029246 5372328 6043869 7438608 8058492 10744656 12087738 16116984 24175476 32233968 48350952 96701904