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104897184 = 25371391123
BaseRepresentation
bin1100100000010…
…01101010100000
321022101022212220
412100021222200
5203323202214
614224151040
72412416460
oct620115240
9238338786
10104897184
1154236897
122b168480
1318969852
14dd07ba0
1593209a9
hex6409aa0

104897184 has 96 divisors (see below), whose sum is σ = 317237760. Its totient is φ = 29728512.

The previous prime is 104897179. The next prime is 104897197. The reversal of 104897184 is 481798401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1048971842 = 22006838422259712, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92847 + ... + 93969.

It is an arithmetic number, because the mean of its divisors is an integer number (3304560).

Almost surely, 2104897184 is an apocalyptic number.

104897184 is a gapful number since it is divisible by the number (14) 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 104897184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158618880).

104897184 is an abundant number, since it is smaller than the sum of its proper divisors (212340576).

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

104897184 is a wasteful number, since it uses less digits than its factorization.

104897184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 104897184 is about 10241.9326301241. The cubic root of 104897184 is about 471.6153622119.

The spelling of 104897184 in words is "one hundred four million, eight hundred ninety-seven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 139 168 224 278 336 417 556 672 834 973 1112 1123 1668 1946 2224 2246 2919 3336 3369 3892 4448 4492 5838 6672 6738 7784 7861 8984 11676 13344 13476 15568 15722 17968 23352 23583 26952 31136 31444 35936 46704 47166 53904 62888 93408 94332 107808 125776 156097 188664 251552 312194 377328 468291 624388 754656 936582 1092679 1248776 1873164 2185358 2497552 3278037 3746328 4370716 4995104 6556074 7492656 8741432 13112148 14985312 17482864 26224296 34965728 52448592 104897184