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1900031967 = 321499140837
BaseRepresentation
bin111000101000000…
…0010111111011111
311220102020121212100
41301100002333133
512342402010332
6512312140143
765041001541
oct16120027737
94812217770
101900031967
11895578159
12450397653
13243845292
141404b5691
15b1c1767c
hex71402fdf

1900031967 has 12 divisors (see below), whose sum is σ = 2746341000. Its totient is φ = 1265833968.

The previous prime is 1900031951. The next prime is 1900031971. The reversal of 1900031967 is 7691300091.

It is not a de Polignac number, because 1900031967 - 24 = 1900031951 is a prime.

It is a super-2 number, since 2×19000319672 = 7220242951243778178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1900031867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56928 + ... + 83909.

It is an arithmetic number, because the mean of its divisors is an integer number (228861750).

Almost surely, 21900031967 is an apocalyptic number.

1900031967 is a deficient number, since it is larger than the sum of its proper divisors (846309033).

1900031967 is a wasteful number, since it uses less digits than its factorization.

1900031967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142342 (or 142339 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 1900031967 is about 43589.3561205026. The cubic root of 1900031967 is about 1238.5692757530.

The spelling of 1900031967 in words is "one billion, nine hundred million, thirty-one thousand, nine hundred sixty-seven".

Divisors: 1 3 9 1499 4497 13491 140837 422511 1267533 211114663 633343989 1900031967