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103974992 = 241117193159
BaseRepresentation
bin1100011001010…
…00100001010000
321020122110212122
412030220201100
5203104144432
614152313412
72401526042
oct614504120
9236573778
10103974992
1153766a50
122a9a2868
1318705b84
14db47a92
1591dc612
hex6328850

103974992 has 160 divisors (see below), whose sum is σ = 257126400. Its totient is φ = 40089600.

The previous prime is 103974971. The next prime is 103975021. The reversal of 103974992 is 299479301.

It is a super-2 number, since 2×1039749922 = 21621597922800128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1762259 + ... + 1762317.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 2103974992 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 103974992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

103974992 is an abundant number, since it is smaller than the sum of its proper divisors (153151408).

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

103974992 is a wasteful number, since it uses less digits than its factorization.

103974992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 44.

The square root of 103974992 is about 10196.8128353913. The cubic root of 103974992 is about 470.2292408187.

The spelling of 103974992 in words is "one hundred three million, nine hundred seventy-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 17 19 22 31 34 38 44 59 62 68 76 88 118 124 136 152 176 187 209 236 248 272 304 323 341 374 418 472 496 527 589 646 649 682 748 836 944 1003 1054 1121 1178 1292 1298 1364 1496 1672 1829 2006 2108 2242 2356 2584 2596 2728 2992 3344 3553 3658 4012 4216 4484 4712 5168 5192 5456 5797 6479 7106 7316 8024 8432 8968 9424 10013 10384 11033 11594 12331 12958 14212 14632 16048 17936 19057 20026 20119 22066 23188 24662 25916 28424 29264 31093 34751 38114 40052 40238 44132 46376 49324 51832 56848 62186 69502 76228 80104 80476 88264 92752 98648 103664 110143 124372 139004 152456 160208 160952 176528 197296 209627 220286 248744 278008 304912 321904 342023 382261 419254 440572 497488 556016 590767 684046 764522 838508 881144 1181534 1368092 1529044 1677016 1762288 2363068 2736184 3058088 3354032 4726136 5472368 6116176 6498437 9452272 12996874 25993748 51987496 103974992