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13923972 = 2232386777
BaseRepresentation
bin110101000111…
…011010000100
3222012102002200
4311013122010
512031031342
61214234500
7226231446
oct65073204
928172080
1013923972
117950317
1247b5a30
132b6694a
141bc6496
15135094c
hexd47684

13923972 has 18 divisors (see below), whose sum is σ = 35196798. Its totient is φ = 4641312.

The previous prime is 13923967. The next prime is 13923983. The reversal of 13923972 is 27932931.

It can be written as a sum of positive squares in only one way, i.e., 13439556 + 484416 = 3666^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 386777 = 13923972 / (1 + 3 + 9 + 2 + 3 + 9 + 7 + 2).

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 5 ways as a sum of consecutive naturals, for example, 193353 + ... + 193424.

Almost surely, 213923972 is an apocalyptic number.

13923972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13923972 is an abundant number, since it is smaller than the sum of its proper divisors (21272826).

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

13923972 is a wasteful number, since it uses less digits than its factorization.

13923972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386787 (or 386782 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 13923972 is about 3731.4838871420. The cubic root of 13923972 is about 240.5771526160.

The spelling of 13923972 in words is "thirteen million, nine hundred twenty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 386777 773554 1160331 1547108 2320662 3480993 4641324 6961986 13923972