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1072640723 = 721112011657
BaseRepresentation
bin111111111011110…
…011001011010011
32202202100210110012
4333323303023103
54144044000343
6254234225135
735403203300
oct7773631323
92682323405
101072640723
11500528940
1225b2851ab
131412c196b
14a265a0a7
156427e718
hex3fef32d3

1072640723 has 24 divisors (see below), whose sum is σ = 1363154544. Its totient is φ = 834624000.

The previous prime is 1072640717. The next prime is 1072640759. The reversal of 1072640723 is 3270462701.

It is not a de Polignac number, because 1072640723 - 220 = 1071592147 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1072640723.

It is not an unprimeable number, because it can be changed into a prime (1072640783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646511 + ... + 648167.

It is an arithmetic number, because the mean of its divisors is an integer number (56798106).

Almost surely, 21072640723 is an apocalyptic number.

1072640723 is a deficient number, since it is larger than the sum of its proper divisors (290513821).

1072640723 is a wasteful number, since it uses less digits than its factorization.

1072640723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 1072640723 is about 32751.1942225013. The cubic root of 1072640723 is about 1023.6498497008.

The spelling of 1072640723 in words is "one billion, seventy-two million, six hundred forty thousand, seven hundred twenty-three".

Divisors: 1 7 11 49 77 539 1201 1657 8407 11599 13211 18227 58849 81193 92477 127589 647339 893123 1990057 13930399 21890627 97512793 153234389 1072640723