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19993932 = 2233753499
BaseRepresentation
bin100110001000…
…1010101001100
31101121210112000
41030101111030
520104301212
61552312300
7331642230
oct114212514
941553460
1019993932
1110316812
126842690
1341b073a
1429265c0
151b4e1dc
hex131154c

19993932 has 96 divisors (see below), whose sum is σ = 60480000. Its totient is φ = 5593536.

The previous prime is 19993927. The next prime is 19993943. The reversal of 19993932 is 23939991.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39819 + ... + 40317.

It is an arithmetic number, because the mean of its divisors is an integer number (630000).

Almost surely, 219993932 is an apocalyptic number.

19993932 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 19993932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240000).

19993932 is an abundant number, since it is smaller than the sum of its proper divisors (40486068).

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

19993932 is a wasteful number, since it uses less digits than its factorization.

19993932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 564 counting only the distinct ones).

The product of its digits is 118098, while the sum is 45.

The square root of 19993932 is about 4471.4574805090. The cubic root of 19993932 is about 271.4143070726.

The spelling of 19993932 in words is "nineteen million, nine hundred ninety-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 499 636 742 756 954 998 1113 1431 1484 1497 1908 1996 2226 2862 2994 3339 3493 4452 4491 5724 5988 6678 6986 8982 10017 10479 13356 13473 13972 17964 20034 20958 26447 26946 31437 40068 41916 52894 53892 62874 79341 94311 105788 125748 158682 185129 188622 238023 317364 370258 377244 476046 555387 714069 740516 952092 1110774 1428138 1666161 2221548 2856276 3332322 4998483 6664644 9996966 19993932