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19957104 = 24362959
BaseRepresentation
bin100110000100…
…0010101110000
31101112221000000
41030020111300
520102111404
61551430000
7331426656
oct114102560
941487000
1019957104
11102a1082
126825300
134199a4b
142916dd6
151b43339
hex1308570

19957104 has 140 divisors (see below), whose sum is σ = 60989400. Its totient is φ = 6314112.

The previous prime is 19957103. The next prime is 19957111. The reversal of 19957104 is 40175991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19957103) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 338227 + ... + 338285.

Almost surely, 219957104 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 19957104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30494700).

19957104 is an abundant number, since it is smaller than the sum of its proper divisors (41032296).

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

19957104 is an equidigital number, since it uses as much as digits as its factorization.

19957104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 19957104 is about 4467.3374620684. The cubic root of 19957104 is about 271.2475599885.

The spelling of 19957104 in words is "nineteen million, nine hundred fifty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 59 72 81 87 108 116 118 144 162 174 177 216 232 236 243 261 324 348 354 432 464 472 486 522 531 648 696 708 729 783 944 972 1044 1062 1296 1392 1416 1458 1566 1593 1711 1944 2088 2124 2349 2832 2916 3132 3186 3422 3888 4176 4248 4698 4779 5133 5832 6264 6372 6844 7047 8496 9396 9558 10266 11664 12528 12744 13688 14094 14337 15399 18792 19116 20532 21141 25488 27376 28188 28674 30798 37584 38232 41064 42282 43011 46197 56376 57348 61596 76464 82128 84564 86022 92394 112752 114696 123192 138591 169128 172044 184788 229392 246384 277182 338256 344088 369576 415773 554364 688176 739152 831546 1108728 1247319 1663092 2217456 2494638 3326184 4989276 6652368 9978552 19957104