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19928664 = 2332739541
BaseRepresentation
bin100110000000…
…1011001011000
31101111110222200
41030001121120
520100204124
61551050200
7331251030
oct114013130
941443880
1019928664
1110281778
126810960
134189b12
14290a8c0
151b39bc9
hex1301658

19928664 has 48 divisors (see below), whose sum is σ = 61685520. Its totient is φ = 5693760.

The previous prime is 19928653. The next prime is 19928677. The reversal of 19928664 is 46682991.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19267 + ... + 20274.

It is an arithmetic number, because the mean of its divisors is an integer number (1285115).

Almost surely, 219928664 is an apocalyptic number.

19928664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

19928664 is an abundant number, since it is smaller than the sum of its proper divisors (41756856).

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

19928664 is a wasteful number, since it uses less digits than its factorization.

19928664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39560 (or 39553 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 19928664 is about 4464.1532231768. The cubic root of 19928664 is about 271.1186510390.

The spelling of 19928664 in words is "nineteen million, nine hundred twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 39541 79082 118623 158164 237246 276787 316328 355869 474492 553574 711738 830361 948984 1107148 1423476 1660722 2214296 2491083 2846952 3321444 4982166 6642888 9964332 19928664