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104865376 = 2571125373
BaseRepresentation
bin1100100000000…
…01111001100000
321022022201020211
412100001321200
5203321143001
614223343504
72412224650
oct620017140
9238281224
10104865376
1154214a00
122b151b94
1318958225
14dcda360
159316351
hex6401e60

104865376 has 144 divisors (see below), whose sum is σ = 267859872. Its totient is φ = 39536640.

The previous prime is 104865359. The next prime is 104865377. The reversal of 104865376 is 673568401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104865377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1436476 + ... + 1436548.

It is an arithmetic number, because the mean of its divisors is an integer number (1860138).

Almost surely, 2104865376 is an apocalyptic number.

104865376 is a gapful number since it is divisible by the number (16) 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 104865376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133929936).

104865376 is an abundant number, since it is smaller than the sum of its proper divisors (162994496).

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

104865376 is a wasteful number, since it uses less digits than its factorization.

104865376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 104865376 is about 10240.3796804611. The cubic root of 104865376 is about 471.5676880438.

The spelling of 104865376 in words is "one hundred four million, eight hundred sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 73 77 88 106 112 121 146 154 176 212 224 242 292 308 352 371 424 484 511 583 584 616 742 803 847 848 968 1022 1166 1168 1232 1484 1606 1694 1696 1936 2044 2332 2336 2464 2968 3212 3388 3869 3872 4081 4088 4664 5621 5936 6413 6424 6776 7738 8162 8176 8833 9328 11242 11872 12826 12848 13552 15476 16324 16352 17666 18656 22484 25652 25696 27083 27104 30952 32648 35332 42559 44891 44968 51304 54166 61831 61904 65296 70664 85118 89782 89936 102608 108332 123662 123808 130592 141328 170236 179564 179872 205216 216664 247324 282656 297913 340472 359128 433328 468149 494648 595826 680944 718256 866656 936298 989296 1191652 1361888 1436512 1872596 1978592 2383304 3277043 3745192 4766608 6554086 7490384 9533216 13108172 14980768 26216344 52432688 104865376