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10945920 = 27355701
BaseRepresentation
bin101001110000…
…010110000000
3202121002222110
4221300112000
510300232140
61030335320
7162016206
oct51602600
922532873
1010945920
1161a6917
1237ba540
13236329b
14164d076
15e63380
hexa70580

10945920 has 64 divisors (see below), whose sum is σ = 34896240. Its totient is φ = 2918400.

The previous prime is 10945903. The next prime is 10945927. The reversal of 10945920 is 2954901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10945927) 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, 931 + ... + 4770.

Almost surely, 210945920 is an apocalyptic number.

10945920 is a gapful number since it is divisible by the number (10) 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 10945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17448120).

10945920 is an abundant number, since it is smaller than the sum of its proper divisors (23950320).

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

10945920 is an equidigital number, since it uses as much as digits as its factorization.

10945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 10945920 is about 3308.4618782752. The cubic root of 10945920 is about 222.0329469809.

The spelling of 10945920 in words is "ten million, nine hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 5701 11402 17103 22804 28505 34206 45608 57010 68412 85515 91216 114020 136824 171030 182432 228040 273648 342060 364864 456080 547296 684120 729728 912160 1094592 1368240 1824320 2189184 2736480 3648640 5472960 10945920