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10834272 = 253237619
BaseRepresentation
bin101001010101…
…000101100000
3202101102211100
4221111011200
510233144042
61024114400
7161042541
oct51250540
922342740
1010834272
11612aa49
123765a00
132324517
1416204c8
15e4024c
hexa55160

10834272 has 36 divisors (see below), whose sum is σ = 30810780. Its totient is φ = 3611328.

The previous prime is 10834249. The next prime is 10834277. The reversal of 10834272 is 27243801.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10834277) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18522 + ... + 19097.

It is an arithmetic number, because the mean of its divisors is an integer number (855855).

Almost surely, 210834272 is an apocalyptic number.

10834272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10834272 is an abundant number, since it is smaller than the sum of its proper divisors (19976508).

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

10834272 is a wasteful number, since it uses less digits than its factorization.

10834272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37635 (or 37624 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10834272 is about 3291.5455336361. The cubic root of 10834272 is about 221.2754562302.

The spelling of 10834272 in words is "ten million, eight hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 37619 75238 112857 150476 225714 300952 338571 451428 601904 677142 902856 1203808 1354284 1805712 2708568 3611424 5417136 10834272