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10881380 = 2252973257
BaseRepresentation
bin101001100000…
…100101100100
3202110211110002
4221200211210
510241201010
61025120432
7161330066
oct51404544
922424402
1010881380
116162384
123789118
13233cab3
141633736
15e4e1a5
hexa60964

10881380 has 48 divisors (see below), whose sum is σ = 24055920. Its totient is φ = 4128768.

The previous prime is 10881379. The next prime is 10881397. The reversal of 10881380 is 8318801.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 984064 + 9897316 = 992^2 + 3146^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42212 + ... + 42468.

It is an arithmetic number, because the mean of its divisors is an integer number (501165).

Almost surely, 210881380 is an apocalyptic number.

10881380 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 10881380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12027960).

10881380 is an abundant number, since it is smaller than the sum of its proper divisors (13174540).

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

10881380 is a wasteful number, since it uses less digits than its factorization.

10881380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 10881380 is about 3298.6936808379. The cubic root of 10881380 is about 221.5956984138.

The spelling of 10881380 in words is "ten million, eight hundred eighty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 73 116 145 146 257 290 292 365 514 580 730 1028 1285 1460 2117 2570 4234 5140 7453 8468 10585 14906 18761 21170 29812 37265 37522 42340 74530 75044 93805 149060 187610 375220 544069 1088138 2176276 2720345 5440690 10881380