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19921902 = 237111331107
BaseRepresentation
bin100101111111…
…1101111101110
31101111010201020
41023333233232
520100000102
61550555010
7331222230
oct113775756
941433636
1019921902
1110277690
126808a66
134186a10
142908250
151b37bbc
hex12ffbee

19921902 has 128 divisors (see below), whose sum is σ = 55738368. Its totient is φ = 4579200.

The previous prime is 19921901. The next prime is 19921921. The reversal of 19921902 is 20912991.

19921902 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19921901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186133 + ... + 186239.

It is an arithmetic number, because the mean of its divisors is an integer number (435456).

Almost surely, 219921902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19921902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27869184).

19921902 is an abundant number, since it is smaller than the sum of its proper divisors (35816466).

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

19921902 is a wasteful number, since it uses less digits than its factorization.

19921902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174.

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 19921902 is about 4463.3957924432. The cubic root of 19921902 is about 271.0879831241.

The spelling of 19921902 in words is "nineteen million, nine hundred twenty-one thousand, nine hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 31 33 39 42 62 66 77 78 91 93 107 143 154 182 186 214 217 231 273 286 321 341 403 429 434 462 546 642 651 682 749 806 858 1001 1023 1177 1209 1302 1391 1498 2002 2046 2247 2354 2387 2418 2782 2821 3003 3317 3531 4173 4433 4494 4774 5642 6006 6634 7062 7161 8239 8346 8463 8866 9737 9951 13299 14322 15301 16478 16926 19474 19902 23219 24717 26598 29211 30602 31031 36487 43121 45903 46438 49434 58422 62062 69657 72974 86242 91806 93093 107107 109461 129363 139314 186186 214214 218922 255409 258726 301847 321321 474331 510818 603694 642642 766227 905541 948662 1422993 1532454 1811082 2845986 3320317 6640634 9960951 19921902