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10945312 = 257131373
BaseRepresentation
bin101001110000…
…001100100000
3202121002010221
4221300030200
510300222222
61030332424
7162014350
oct51601440
922532127
1010945312
1161a6414
1237ba114
132362c21
14164cb60
15e630c7
hexa70320

10945312 has 48 divisors (see below), whose sum is σ = 24881472. Its totient is φ = 4642560.

The previous prime is 10945307. The next prime is 10945339. The reversal of 10945312 is 21354901.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29158 + ... + 29530.

It is an arithmetic number, because the mean of its divisors is an integer number (518364).

Almost surely, 210945312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10945312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12440736).

10945312 is an abundant number, since it is smaller than the sum of its proper divisors (13936160).

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

10945312 is a wasteful number, since it uses less digits than its factorization.

10945312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 10945312 is about 3308.3699914006. The cubic root of 10945312 is about 222.0288359048.

The spelling of 10945312 in words is "ten million, nine hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 131 224 262 373 524 746 917 1048 1492 1834 2096 2611 2984 3668 4192 5222 5968 7336 10444 11936 14672 20888 29344 41776 48863 83552 97726 195452 342041 390904 684082 781808 1368164 1563616 2736328 5472656 10945312