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102672976 = 2471575839
BaseRepresentation
bin1100001111010…
…10101001010000
321011012022211211
412013222221100
5202241013401
614104345504
72354464060
oct607525120
9234168754
10102672976
1152a577aa
122a475294
131836b353
14d8c93a0
159031951
hex61eaa50

102672976 has 40 divisors (see below), whose sum is σ = 228834560. Its totient is φ = 43714944.

The previous prime is 102672959. The next prime is 102673001. The reversal of 102672976 is 679276201.

It is a congruent number.

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, 14665 + ... + 20503.

It is an arithmetic number, because the mean of its divisors is an integer number (5720864).

Almost surely, 2102672976 is an apocalyptic number.

102672976 is a gapful number since it is divisible by the number (16) 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 102672976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114417280).

102672976 is an abundant number, since it is smaller than the sum of its proper divisors (126161584).

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

102672976 is a wasteful number, since it uses less digits than its factorization.

102672976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6011 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 102672976 is about 10132.7674403393. The cubic root of 102672976 is about 468.2581914739.

The spelling of 102672976 in words is "one hundred two million, six hundred seventy-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 157 314 628 1099 1256 2198 2512 4396 5839 8792 11678 17584 23356 40873 46712 81746 93424 163492 326984 653968 916723 1833446 3666892 6417061 7333784 12834122 14667568 25668244 51336488 102672976