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67600896 = 293114001
BaseRepresentation
bin1000000011110…
…00001000000000
311201012110222220
410001320020000
5114301212041
610412531040
71450412106
oct401701000
9151173886
1067600896
1135182610
121a780a80
131100b83c
148d99c76
155e04d66
hex4078200

67600896 has 80 divisors (see below), whose sum is σ = 196514208. Its totient is φ = 20480000.

The previous prime is 67600877. The next prime is 67600901. The reversal of 67600896 is 69800676.

It is a happy number.

It is a super-2 number, since 2×676008962 = 9139762280005632, which contains 22 as substring.

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, 14896 + ... + 18896.

Almost surely, 267600896 is an apocalyptic number.

67600896 is a gapful number since it is divisible by the number (66) 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 67600896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98257104).

67600896 is an abundant number, since it is smaller than the sum of its proper divisors (128913312).

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

67600896 is a wasteful number, since it uses less digits than its factorization.

67600896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 67600896 is about 8221.9764047338. The cubic root of 67600896 is about 407.3654110336.

The spelling of 67600896 in words is "sixty-seven million, six hundred thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4001 4224 5632 8002 8448 12003 16004 16896 24006 32008 44011 48012 64016 88022 96024 128032 132033 176044 192048 256064 264066 352088 384096 512128 528132 704176 768192 1024256 1056264 1408352 1536384 2048512 2112528 2816704 3072768 4225056 5633408 6145536 8450112 11266816 16900224 22533632 33800448 67600896