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19996032 = 273743173
BaseRepresentation
bin100110001000…
…1110110000000
31101121220101210
41030101312000
520104333112
61552330120
7331651320
oct114216600
941556353
1019996032
1110318351
126843940
1341b1694
142927280
151b4eb3c
hex1311d80

19996032 has 128 divisors (see below), whose sum is σ = 62472960. Its totient is φ = 5548032.

The previous prime is 19996019. The next prime is 19996049. The reversal of 19996032 is 23069991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115498 + ... + 115670.

It is an arithmetic number, because the mean of its divisors is an integer number (488070).

Almost surely, 219996032 is an apocalyptic number.

19996032 is a gapful number since it is divisible by the number (12) 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 19996032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31236480).

19996032 is an abundant number, since it is smaller than the sum of its proper divisors (42476928).

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

19996032 is a wasteful number, since it uses less digits than its factorization.

19996032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 19996032 is about 4471.6922971063. The cubic root of 19996032 is about 271.4238091237.

The spelling of 19996032 in words is "nineteen million, nine hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 168 172 173 192 224 258 301 336 344 346 384 448 516 519 602 672 688 692 896 903 1032 1038 1204 1211 1344 1376 1384 1806 2064 2076 2408 2422 2688 2752 2768 3612 3633 4128 4152 4816 4844 5504 5536 7224 7266 7439 8256 8304 9632 9688 11072 14448 14532 14878 16512 16608 19264 19376 22144 22317 28896 29064 29756 33216 38528 38752 44634 52073 57792 58128 59512 66432 77504 89268 104146 115584 116256 119024 155008 156219 178536 208292 232512 238048 312438 357072 416584 465024 476096 624876 714144 833168 952192 1249752 1428288 1666336 2499504 2856576 3332672 4999008 6665344 9998016 19996032