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19930656 = 253297159
BaseRepresentation
bin100110000000…
…1111000100000
31101111120201110
41030001320200
520100240111
61551103320
7331256604
oct114017040
941446643
1019930656
1110283219
126811b40
13418a9b5
14290b504
151b3a5a6
hex1301e20

19930656 has 48 divisors (see below), whose sum is σ = 54129600. Its totient is φ = 6413568.

The previous prime is 19930649. The next prime is 19930667. The reversal of 19930656 is 65603991.

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

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, 796 + ... + 6363.

It is an arithmetic number, because the mean of its divisors is an integer number (1127700).

Almost surely, 219930656 is an apocalyptic number.

19930656 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 19930656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27064800).

19930656 is an abundant number, since it is smaller than the sum of its proper divisors (34198944).

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

19930656 is a wasteful number, since it uses less digits than its factorization.

19930656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7201 (or 7193 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 19930656 is about 4464.3763282232. The cubic root of 19930656 is about 271.1276840974.

The spelling of 19930656 in words is "nineteen million, nine hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 7159 14318 21477 28636 42954 57272 85908 114544 171816 207611 229088 343632 415222 622833 687264 830444 1245666 1660888 2491332 3321776 4982664 6643552 9965328 19930656