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10831380 = 22357173741
BaseRepresentation
bin101001010100…
…011000010100
3202101021212020
4221110120110
510233101010
61024053140
7161031240
oct51243024
922337766
1010831380
11612885a
1237641b0
132323101
14161d420
15e3e470
hexa54614

10831380 has 192 divisors, whose sum is σ = 38610432. Its totient is φ = 2211840.

The previous prime is 10831309. The next prime is 10831391. The reversal of 10831380 is 8313801.

10831380 = T253 + T254 + ... + T432.

10831380 = 1442 + 1452 + ... + 3282.

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 10831380.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 264160 + ... + 264200.

It is an arithmetic number, because the mean of its divisors is an integer number (201096).

Almost surely, 210831380 is an apocalyptic number.

10831380 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 10831380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216).

10831380 is an abundant number, since it is smaller than the sum of its proper divisors (27779052).

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

10831380 is a wasteful number, since it uses less digits than its factorization.

10831380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10831380 is about 3291.1061970104. The cubic root of 10831380 is about 221.2557660727.

It can be divided in two parts, 10831 and 380, that added together give a palindrome (11211).

The spelling of 10831380 in words is "ten million, eight hundred thirty-one thousand, three hundred eighty".