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102995928 = 23337174007
BaseRepresentation
bin1100010001110…
…01011111011000
321011210201212000
412020321133120
5202331332203
614115321000
72360310450
oct610713730
9234721760
10102995928
1153158402
122a5b0160
1318452349
14d970d60
1590974a3
hex62397d8

102995928 has 128 divisors (see below), whose sum is σ = 346291200. Its totient is φ = 27689472.

The previous prime is 102995897. The next prime is 102995933. The reversal of 102995928 is 829599201.

It is a super-2 number, since 2×1029959282 = 21216322369162368, which contains 22 as substring.

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, 23701 + ... + 27707.

It is an arithmetic number, because the mean of its divisors is an integer number (2705400).

Almost surely, 2102995928 is an apocalyptic number.

102995928 is a gapful number since it is divisible by the number (18) 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 102995928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173145600).

102995928 is an abundant number, since it is smaller than the sum of its proper divisors (243295272).

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

102995928 is a wasteful number, since it uses less digits than its factorization.

102995928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 102995928 is about 10148.6909500684. The cubic root of 102995928 is about 468.7486374360.

The spelling of 102995928 in words is "one hundred two million, nine hundred ninety-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4007 4284 6426 8014 8568 12021 12852 16028 24042 25704 28049 32056 36063 48084 56098 68119 72126 84147 96168 108189 112196 136238 144252 168294 204357 216378 224392 252441 272476 288504 336588 408714 432756 476833 504882 544952 613071 673176 757323 817428 865512 953666 1009764 1226142 1430499 1514646 1634856 1839213 1907332 2019528 2452284 2860998 3029292 3678426 3814664 4291497 4904568 5721996 6058584 7356852 8582994 11443992 12874491 14713704 17165988 25748982 34331976 51497964 102995928