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2072664 = 2332112617
BaseRepresentation
bin111111010000001011000
310220022011100
413322001120
51012311124
6112231400
723421516
oct7720130
93808140
102072664
111196250
1283b560
13577539
143bd4b6
152ae1c9
hex1fa058

2072664 has 48 divisors (see below), whose sum is σ = 6126120. Its totient is φ = 627840.

The previous prime is 2072663. The next prime is 2072683. The reversal of 2072664 is 4662702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517 + ... + 2100.

22072664 is an apocalyptic number.

2072664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2072664 is an abundant number, since it is smaller than the sum of its proper divisors (4053456).

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

2072664 is a wasteful number, since it uses less digits than its factorization.

2072664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2072664 is about 1439.6749633164. The cubic root of 2072664 is about 127.4998385234.

The spelling of 2072664 in words is "two million, seventy-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2617 5234 7851 10468 15702 20936 23553 28787 31404 47106 57574 62808 86361 94212 115148 172722 188424 230296 259083 345444 518166 690888 1036332 2072664