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19937964 = 22323294753
BaseRepresentation
bin100110000001…
…1101010101100
31101111221202010
41030003222230
520101003324
61551201220
7331320114
oct114035254
941457663
1019937964
1110288762
126816210
134191117
142910044
151b3c829
hex1303aac

19937964 has 96 divisors (see below), whose sum is σ = 52254720. Its totient is φ = 5893888.

The previous prime is 19937909. The next prime is 19937971. The reversal of 19937964 is 46973991.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 376162 + ... + 376214.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 219937964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19937964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).

19937964 is an abundant number, since it is smaller than the sum of its proper divisors (32316756).

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

19937964 is a wasteful number, since it uses less digits than its factorization.

19937964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its digits is 367416, while the sum is 48.

The square root of 19937964 is about 4465.1947325957. The cubic root of 19937964 is about 271.1608182968.

The spelling of 19937964 in words is "nineteen million, nine hundred thirty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 29 46 47 53 58 69 87 92 94 106 116 138 141 159 174 188 212 276 282 318 348 564 636 667 1081 1219 1334 1363 1537 2001 2162 2438 2491 2668 2726 3074 3243 3657 4002 4089 4324 4611 4876 4982 5452 6148 6486 7314 7473 8004 8178 9222 9964 12972 14628 14946 16356 18444 29892 31349 35351 57293 62698 70702 72239 94047 106053 114586 125396 141404 144478 171879 188094 212106 216717 229172 288956 343758 376188 424212 433434 687516 866868 1661497 3322994 4984491 6645988 9968982 19937964