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102787190740 = 225133767104947
BaseRepresentation
bin101111110111010011…
…0000000111111010100
3100211022102020022011101
41133232212000333110
53141002010100430
6115115250115444
710266106464013
oct1375646007724
9324272208141
10102787190740
113a656764823
1217b0727bb84
1399010a3530
144d912aca7a
152a18c93dca
hex17ee980fd4

102787190740 has 48 divisors (see below), whose sum is σ = 232521109632. Its totient is φ = 37941757056.

The previous prime is 102787190731. The next prime is 102787190747. The reversal of 102787190740 is 47091787201.

It is a super-2 number, since 2×1027871907402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102787190747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926947 + ... + 1031893.

It is an arithmetic number, because the mean of its divisors is an integer number (4844189784).

Almost surely, 2102787190740 is an apocalyptic number.

102787190740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102787190740 is an abundant number, since it is smaller than the sum of its proper divisors (129733918892).

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

102787190740 is a wasteful number, since it uses less digits than its factorization.

102787190740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108736 (or 108734 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 46.

The spelling of 102787190740 in words is "one hundred two billion, seven hundred eighty-seven million, one hundred ninety thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 3767 7534 15068 18835 37670 48971 75340 97942 104947 195884 209894 244855 419788 489710 524735 979420 1049470 1364311 2098940 2728622 5457244 6821555 13643110 27286220 395335349 790670698 1581341396 1976676745 3953353490 5139359537 7906706980 10278719074 20557438148 25696797685 51393595370 102787190740