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10920312 = 2333133889
BaseRepresentation
bin101001101010…
…000101111000
3202112210212000
4221222011320
510243422222
61030021000
7161551434
oct51520570
922483760
1010920312
116189657
1237a7760
132354730
1416439c4
15e5a9ac
hexa6a178

10920312 has 64 divisors (see below), whose sum is σ = 32676000. Its totient is φ = 3359232.

The previous prime is 10920311. The next prime is 10920317. The reversal of 10920312 is 21302901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10920311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864 + ... + 4752.

Almost surely, 210920312 is an apocalyptic number.

10920312 is a gapful number since it is divisible by the number (12) 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 10920312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338000).

10920312 is an abundant number, since it is smaller than the sum of its proper divisors (21755688).

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

10920312 is a wasteful number, since it uses less digits than its factorization.

10920312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10920312 is about 3304.5895357820. The cubic root of 10920312 is about 221.8596629483.

The spelling of 10920312 in words is "ten million, nine hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 3889 7778 11667 15556 23334 31112 35001 46668 50557 70002 93336 101114 105003 140004 151671 202228 210006 280008 303342 404456 420012 455013 606684 840024 910026 1213368 1365039 1820052 2730078 3640104 5460156 10920312