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19899432 = 2334741107
BaseRepresentation
bin100101111101…
…0010000101000
31101102222220000
41023322100220
520043240212
61550303000
7331066560
oct113722050
941388800
1019899432
1110261813
1267b7a60
134179717
1428ddda0
151b311dc
hex12fa428

19899432 has 160 divisors (see below), whose sum is σ = 65862720. Its totient is φ = 5495040.

The previous prime is 19899353. The next prime is 19899437. The reversal of 19899432 is 23499891.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19899437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185923 + ... + 186029.

It is an arithmetic number, because the mean of its divisors is an integer number (411642).

Almost surely, 219899432 is an apocalyptic number.

19899432 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 19899432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32931360).

19899432 is an abundant number, since it is smaller than the sum of its proper divisors (45963288).

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

19899432 is a wasteful number, since it uses less digits than its factorization.

19899432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 19899432 is about 4460.8779404956. The cubic root of 19899432 is about 270.9860243425.

The spelling of 19899432 in words is "nineteen million, eight hundred ninety-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 81 82 84 107 108 123 126 162 164 168 189 214 216 246 252 287 321 324 328 369 378 428 492 504 567 574 642 648 738 749 756 856 861 963 984 1107 1134 1148 1284 1476 1498 1512 1722 1926 2214 2247 2268 2296 2568 2583 2889 2952 2996 3321 3444 3852 4387 4428 4494 4536 5166 5778 5992 6642 6741 6888 7704 7749 8667 8774 8856 8988 10332 11556 13161 13284 13482 15498 17334 17548 17976 20223 20664 23112 23247 26322 26568 26964 30709 30996 34668 35096 39483 40446 46494 52644 53928 60669 61418 61992 69336 78966 80892 92127 92988 105288 118449 121338 122836 157932 161784 184254 185976 236898 242676 245672 276381 315864 355347 368508 473796 485352 552762 710694 737016 829143 947592 1105524 1421388 1658286 2211048 2487429 2842776 3316572 4974858 6633144 9949716 19899432