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2696672 = 251147163
BaseRepresentation
bin1010010010010111100000
312002000010202
422102113200
51142243142
6133444332
731631006
oct12222740
95060122
102696672
111582060
12aa06a8
13735584
14502a76
15384032
hex2925e0

2696672 has 48 divisors (see below), whose sum is σ = 5951232. Its totient is φ = 1192320.

The previous prime is 2696669. The next prime is 2696677. The reversal of 2696672 is 2766962.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2696677) 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, 16463 + ... + 16625.

It is an arithmetic number, because the mean of its divisors is an integer number (123984).

22696672 is an apocalyptic number.

2696672 is a gapful number since it is divisible by the number (22) 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 2696672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975616).

2696672 is an abundant number, since it is smaller than the sum of its proper divisors (3254560).

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

2696672 is a wasteful number, since it uses less digits than its factorization.

2696672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 2696672 is about 1642.1546821174. The cubic root of 2696672 is about 139.1904296058.

The spelling of 2696672 in words is "two million, six hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 163 176 188 326 352 376 517 652 752 1034 1304 1504 1793 2068 2608 3586 4136 5216 7172 7661 8272 14344 15322 16544 28688 30644 57376 61288 84271 122576 168542 245152 337084 674168 1348336 2696672