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19964664 = 2333175437
BaseRepresentation
bin100110000101…
…0001011111000
31101120022101000
41030022023320
520102332124
61551525000
7331461006
oct114121370
941508330
1019964664
11102a6825
126829760
1341a0315
142919a76
151b456c9
hex130a2f8

19964664 has 64 divisors (see below), whose sum is σ = 58730400. Its totient is φ = 6262272.

The previous prime is 19964653. The next prime is 19964669. The reversal of 19964664 is 46646991.

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 (19964669) 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 15 ways as a sum of consecutive naturals, for example, 954 + ... + 6390.

Almost surely, 219964664 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 19964664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29365200).

19964664 is an abundant number, since it is smaller than the sum of its proper divisors (38765736).

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

19964664 is a wasteful number, since it uses less digits than its factorization.

19964664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469 (or 5459 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 19964664 is about 4468.1835235362. The cubic root of 19964664 is about 271.2818063179.

The spelling of 19964664 in words is "nineteen million, nine hundred sixty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 5437 10874 16311 21748 32622 43496 48933 65244 92429 97866 130488 146799 184858 195732 277287 293598 369716 391464 554574 587196 739432 831861 1109148 1174392 1663722 2218296 2495583 3327444 4991166 6654888 9982332 19964664