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68681632 = 2517251503
BaseRepresentation
bin1000001011111…
…11111110100000
311210020101111011
410011333332200
5120040303012
610452030304
71462532665
oct405777640
9153211434
1068681632
1135850588
121b002394
13112c9726
14919ba6c
15606a1a7
hex417ffa0

68681632 has 48 divisors (see below), whose sum is σ = 144027072. Its totient is φ = 32128000.

The previous prime is 68681629. The next prime is 68681651. The reversal of 68681632 is 23618686.

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, 136293 + ... + 136795.

It is an arithmetic number, because the mean of its divisors is an integer number (3000564).

Almost surely, 268681632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68681632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72013536).

68681632 is an abundant number, since it is smaller than the sum of its proper divisors (75345440).

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

68681632 is a wasteful number, since it uses less digits than its factorization.

68681632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 773 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 68681632 is about 8287.4382048978. The cubic root of 68681632 is about 409.5247954581.

The spelling of 68681632 in words is "sixty-eight million, six hundred eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 251 272 502 503 544 1004 1006 2008 2012 4016 4024 4267 8032 8048 8534 8551 16096 17068 17102 34136 34204 68272 68408 126253 136544 136816 252506 273632 505012 1010024 2020048 2146301 4040096 4292602 8585204 17170408 34340816 68681632