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102274040 = 23511317113
BaseRepresentation
bin1100001100010…
…01001111111000
321010110001121102
412012021033320
5202140232130
614052030532
72351213021
oct606111770
9233401542
10102274040
1152805000
122a302448
131825b8ab
14d823c48
158ea3645
hex61893f8

102274040 has 128 divisors (see below), whose sum is σ = 270371520. Its totient is φ = 34693120.

The previous prime is 102274033. The next prime is 102274043. The reversal of 102274040 is 40472201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102274043) 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, 905024 + ... + 905136.

Almost surely, 2102274040 is an apocalyptic number.

102274040 is a gapful number since it is divisible by the number (10) 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 102274040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135185760).

102274040 is an abundant number, since it is smaller than the sum of its proper divisors (168097480).

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

102274040 is a wasteful number, since it uses less digits than its factorization.

102274040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 102274040 is about 10113.0628397138. The cubic root of 102274040 is about 467.6509316589.

The spelling of 102274040 in words is "one hundred two million, two hundred seventy-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 113 121 136 170 187 220 226 242 340 374 440 452 484 565 605 680 748 904 935 968 1130 1210 1243 1331 1496 1870 1921 2057 2260 2420 2486 2662 3740 3842 4114 4520 4840 4972 5324 6215 6655 7480 7684 8228 9605 9944 10285 10648 12430 13310 13673 15368 16456 19210 20570 21131 22627 24860 26620 27346 38420 41140 42262 45254 49720 53240 54692 68365 76840 82280 84524 90508 105655 109384 113135 136730 150403 169048 181016 211310 226270 232441 273460 300806 422620 452540 464882 546920 601612 752015 845240 905080 929764 1162205 1203224 1504030 1859528 2324410 2556851 3008060 4648820 5113702 6016120 9297640 10227404 12784255 20454808 25568510 51137020 102274040