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10993152 = 29317421
BaseRepresentation
bin101001111011…
…111000000000
3202200111202210
4221323320000
510303240102
61031342120
7162304002
oct51737000
922614683
1010993152
116229355
123821940
13237b931
141662372
15e7236c
hexa7be00

10993152 has 80 divisors (see below), whose sum is σ = 31082832. Its totient is φ = 3440640.

The previous prime is 10993141. The next prime is 10993187. The reversal of 10993152 is 25139901.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25902 + ... + 26322.

Almost surely, 210993152 is an apocalyptic number.

10993152 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 10993152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15541416).

10993152 is an abundant number, since it is smaller than the sum of its proper divisors (20089680).

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

10993152 is an equidigital number, since it uses as much as digits as its factorization.

10993152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 10993152 is about 3315.5922547865. The cubic root of 10993152 is about 222.3518485200.

The spelling of 10993152 in words is "ten million, nine hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 421 512 544 768 816 842 1088 1263 1536 1632 1684 2176 2526 3264 3368 4352 5052 6528 6736 7157 8704 10104 13056 13472 14314 20208 21471 26112 26944 28628 40416 42942 53888 57256 80832 85884 107776 114512 161664 171768 215552 229024 323328 343536 458048 646656 687072 916096 1374144 1832192 2748288 3664384 5496576 10993152