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68020896 = 253798969
BaseRepresentation
bin1000000110111…
…10101010100000
311201222211010110
410003132222200
5114403132041
610425531320
71454111436
oct403365240
9151884113
1068020896
113543a119
121a943b40
1311127a68
149068d56
155e89516
hex40deaa0

68020896 has 48 divisors (see below), whose sum is σ = 180835200. Its totient is φ = 22384128.

The previous prime is 68020877. The next prime is 68020903. The reversal of 68020896 is 69802086.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3100 + ... + 12068.

It is an arithmetic number, because the mean of its divisors is an integer number (3767400).

Almost surely, 268020896 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 68020896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90417600).

68020896 is an abundant number, since it is smaller than the sum of its proper divisors (112814304).

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

68020896 is a wasteful number, since it uses less digits than its factorization.

68020896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9061 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 68020896 is about 8247.4781600196. The cubic root of 68020896 is about 408.2073148634.

The spelling of 68020896 in words is "sixty-eight million, twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 8969 17938 26907 35876 53814 71752 107628 143504 215256 287008 430512 708551 861024 1417102 2125653 2834204 4251306 5668408 8502612 11336816 17005224 22673632 34010448 68020896