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19956096 = 2732171019
BaseRepresentation
bin100110000100…
…0000110000000
31101112212121200
41030020012000
520102043341
61551421200
7331424016
oct114100600
941485550
1019956096
11102a0346
126824800
134199454
1429168b6
151b42db6
hex1308180

19956096 has 96 divisors (see below), whose sum is σ = 60863400. Its totient is φ = 6254592.

The previous prime is 19956077. The next prime is 19956103. The reversal of 19956096 is 69065991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×199560962 = 796491535122432, which contains 22 as substring.

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, 19075 + ... + 20093.

Almost surely, 219956096 is an apocalyptic number.

19956096 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 19956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30431700).

19956096 is an abundant number, since it is smaller than the sum of its proper divisors (40907304).

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

19956096 is a wasteful number, since it uses less digits than its factorization.

19956096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 19956096 is about 4467.2246417658. The cubic root of 19956096 is about 271.2429931579.

The spelling of 19956096 in words is "nineteen million, nine hundred fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1019 1088 1152 1224 1632 2038 2176 2448 3057 3264 4076 4896 6114 6528 8152 9171 9792 12228 16304 17323 18342 19584 24456 32608 34646 36684 48912 51969 65216 69292 73368 97824 103938 130432 138584 146736 155907 195648 207876 277168 293472 311814 391296 415752 554336 586944 623628 831504 1108672 1173888 1247256 1663008 2217344 2494512 3326016 4989024 6652032 9978048 19956096