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10880532 = 22321367347
BaseRepresentation
bin101001100000…
…011000010100
3202110210021200
4221200120110
510241134112
61025112500
7161324445
oct51403024
922423250
1010880532
116161783
123788730
13233c5b0
1416332cc
15e4dcdc
hexa60614

10880532 has 72 divisors (see below), whose sum is σ = 30147936. Its totient is φ = 3288384.

The previous prime is 10880531. The next prime is 10880549. The reversal of 10880532 is 23508801.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10880496 and 10880505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10880531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31183 + ... + 31529.

Almost surely, 210880532 is an apocalyptic number.

10880532 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 10880532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15073968).

10880532 is an abundant number, since it is smaller than the sum of its proper divisors (19267404).

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

10880532 is a wasteful number, since it uses less digits than its factorization.

10880532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10880532 is about 3298.5651426037. The cubic root of 10880532 is about 221.5899418513.

The spelling of 10880532 in words is "ten million, eight hundred eighty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 234 268 347 402 468 603 694 804 871 1041 1206 1388 1742 2082 2412 2613 3123 3484 4164 4511 5226 6246 7839 9022 10452 12492 13533 15678 18044 23249 27066 31356 40599 46498 54132 69747 81198 92996 139494 162396 209241 278988 302237 418482 604474 836964 906711 1208948 1813422 2720133 3626844 5440266 10880532