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68992560 = 243657132
BaseRepresentation
bin1000001110010…
…11111000110000
311210211012000000
410013023320300
5120130230220
610502430000
71465266330
oct407137060
9153735000
1068992560
1135a4314a
121b132300
13113a8100
14923d0c0
1560cc390
hex41cbe30

68992560 has 420 divisors, whose sum is σ = 297628272. Its totient is φ = 14556672.

The previous prime is 68992559. The next prime is 68992601. The reversal of 68992560 is 6529986.

68992560 is a `hidden beast` number, since 6 + 89 + 9 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5307114 + ... + 5307126.

Almost surely, 268992560 is an apocalyptic number.

68992560 is a gapful number since it is divisible by the number (60) 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 68992560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148814136).

68992560 is an abundant number, since it is smaller than the sum of its proper divisors (228635712).

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

68992560 is a wasteful number, since it uses less digits than its factorization.

68992560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 68992560 is about 8306.1760154719. The cubic root of 68992560 is about 410.1418505802.

The spelling of 68992560 in words is "sixty-eight million, nine hundred ninety-two thousand, five hundred sixty".