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102747040 = 2551158379
BaseRepresentation
bin1100001111111…
…00101110100000
321011100002102221
412013330232200
5202300401130
614110120424
72355223024
oct607745640
9234302387
10102747040
1152aa8410
122a4b0114
1318395c86
14d908384
15904887a
hex61fcba0

102747040 has 48 divisors (see below), whose sum is σ = 264811680. Its totient is φ = 37361920.

The previous prime is 102747023. The next prime is 102747059. The reversal of 102747040 is 40747201.

It is a junction number, because it is equal to n+sod(n) for n = 102746996 and 102747014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27430 + ... + 30949.

It is an arithmetic number, because the mean of its divisors is an integer number (5516910).

Almost surely, 2102747040 is an apocalyptic number.

102747040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102747040 is an abundant number, since it is smaller than the sum of its proper divisors (162064640).

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

102747040 is a wasteful number, since it uses less digits than its factorization.

102747040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58405 (or 58397 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 102747040 is about 10136.4214592725. The cubic root of 102747040 is about 468.3707583837.

The spelling of 102747040 in words is "one hundred two million, seven hundred forty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 58379 116758 233516 291895 467032 583790 642169 934064 1167580 1284338 1868128 2335160 2568676 3210845 4670320 5137352 6421690 9340640 10274704 12843380 20549408 25686760 51373520 102747040