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20137984 = 2119833
BaseRepresentation
bin100110011010…
…0100000000000
31101220010010021
41030310200000
520123403414
61555343224
7333112216
oct114644000
941803107
1020137984
1110404a69
1268b1b14
134231189
142962cb6
151b7bc24
hex1334800

20137984 has 24 divisors (see below), whose sum is σ = 40270230. Its totient is φ = 10067968.

The previous prime is 20137963. The next prime is 20137993. The reversal of 20137984 is 48973102.

It can be written as a sum of positive squares in only one way, i.e., 17040384 + 3097600 = 4128^2 + 1760^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2869 + ... + 6964.

Almost surely, 220137984 is an apocalyptic number.

It is an amenable number.

20137984 is a deficient number, since it is larger than the sum of its proper divisors (20132246).

20137984 is an frugal number, since it uses more digits than its factorization.

20137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9855 (or 9835 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 20137984 is about 4487.5365179573. The cubic root of 20137984 is about 272.0645752102.

It can be divided in two parts, 201379 and 84, that multiplied together give a triangular number (16915836 = T5816).

The spelling of 20137984 in words is "twenty million, one hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 9833 19666 39332 78664 157328 314656 629312 1258624 2517248 5034496 10068992 20137984