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19964052 = 22321732621
BaseRepresentation
bin100110000101…
…0000010010100
31101120021112100
41030022002110
520102322202
61551522100
7331456143
oct114120224
941507470
1019964052
11102a6319
126829330
13419cc64
14291975a
151b4541c
hex130a094

19964052 has 36 divisors (see below), whose sum is σ = 53434836. Its totient is φ = 6263040.

The previous prime is 19964033. The next prime is 19964059. The reversal of 19964052 is 25046991.

19964052 is a `hidden beast` number, since 1 + 9 + 9 + 640 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13793796 + 6170256 = 3714^2 + 2484^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19963998 and 19964016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19964059) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15699 + ... + 16922.

It is an arithmetic number, because the mean of its divisors is an integer number (1484301).

Almost surely, 219964052 is an apocalyptic number.

19964052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19964052 is an abundant number, since it is smaller than the sum of its proper divisors (33470784).

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

19964052 is a wasteful number, since it uses less digits than its factorization.

19964052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32648 (or 32643 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 19964052 is about 4468.1150388055. The cubic root of 19964052 is about 271.2790343177.

The spelling of 19964052 in words is "nineteen million, nine hundred sixty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 32621 65242 97863 130484 195726 293589 391452 554557 587178 1109114 1174356 1663671 2218228 3327342 4991013 6654684 9982026 19964052