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190912896 = 2733371493
BaseRepresentation
bin10110110000100…
…01100110000000
3111022020101021000
423120101212000
5342333203041
630535532000
74505506236
oct1330214600
9438211230
10190912896
1198846759
1253b2a000
1330725115
141b4d8956
1511b61bb6
hexb611980

190912896 has 128 divisors (see below), whose sum is σ = 579074400. Its totient is φ = 61876224.

The previous prime is 190912889. The next prime is 190912913. The reversal of 190912896 is 698219091.

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, 127126 + ... + 128618.

Almost surely, 2190912896 is an apocalyptic number.

190912896 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 190912896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289537200).

190912896 is an abundant number, since it is smaller than the sum of its proper divisors (388161504).

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

190912896 is a wasteful number, since it uses less digits than its factorization.

190912896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 190912896 is about 13817.1232895998. The cubic root of 190912896 is about 575.8089644261.

The spelling of 190912896 in words is "one hundred ninety million, nine hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 288 296 333 384 432 444 576 592 666 864 888 999 1152 1184 1332 1493 1728 1776 1998 2368 2664 2986 3456 3552 3996 4479 4736 5328 5972 7104 7992 8958 10656 11944 13437 14208 15984 17916 21312 23888 26874 31968 35832 40311 42624 47776 53748 55241 63936 71664 80622 95552 107496 110482 127872 143328 161244 165723 191104 214992 220964 286656 322488 331446 429984 441928 497169 573312 644976 662892 859968 883856 994338 1289952 1325784 1491507 1719936 1767712 1988676 2579904 2651568 2983014 3535424 3977352 5159808 5303136 5966028 7070848 7954704 10606272 11932056 15909408 21212544 23864112 31818816 47728224 63637632 95456448 190912896