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2040585920 = 2657398629
BaseRepresentation
bin111100110100000…
…1101111011000000
312021012201111122022
41321220031323000
513134342222140
6534252501012
7101365460042
oct17150157300
95235644568
102040585920
1195794844a
1248b47a768
132669b77b9
14155021a92
15be22d0b5
hex79a0dec0

2040585920 has 56 divisors (see below), whose sum is σ = 4866284400. Its totient is φ = 815035392.

The previous prime is 2040585893. The next prime is 2040585929. The reversal of 2040585920 is 295850402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2040585929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232166 + ... + 240794.

Almost surely, 22040585920 is an apocalyptic number.

2040585920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433142200).

2040585920 is an abundant number, since it is smaller than the sum of its proper divisors (2825698480).

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

2040585920 is an equidigital number, since it uses as much as digits as its factorization.

2040585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9385 (or 9375 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 2040585920 is about 45172.8449402957. The cubic root of 2040585920 is about 1268.3865513351.

The spelling of 2040585920 in words is "two billion, forty million, five hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 739 1478 2956 3695 5912 7390 8629 11824 14780 17258 23648 29560 34516 43145 47296 59120 69032 86290 118240 138064 172580 236480 276128 345160 552256 690320 1380640 2761280 6376831 12753662 25507324 31884155 51014648 63768310 102029296 127536620 204058592 255073240 408117184 510146480 1020292960 2040585920