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13831380 = 22325431787
BaseRepresentation
bin110100110000…
…110011010100
3222000201002100
4310300303110
512020101010
61212242100
7225364503
oct64606324
928021070
1013831380
1178977a2
124770330
132b33764
141ba083a
1513332c0
hexd30cd4

13831380 has 72 divisors (see below), whose sum is σ = 42954912. Its totient is φ = 3600576.

The previous prime is 13831361. The next prime is 13831393. The reversal of 13831380 is 8313831.

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 23 ways as a sum of consecutive naturals, for example, 6847 + ... + 8633.

It is an arithmetic number, because the mean of its divisors is an integer number (596596).

Almost surely, 213831380 is an apocalyptic number.

13831380 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 13831380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21477456).

13831380 is an abundant number, since it is smaller than the sum of its proper divisors (29123532).

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

13831380 is a wasteful number, since it uses less digits than its factorization.

13831380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13831380 is about 3719.0563319208. The cubic root of 13831380 is about 240.0427007356.

The spelling of 13831380 in words is "thirteen million, eight hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1787 1935 2580 3574 3870 5361 7148 7740 8935 10722 16083 17870 21444 26805 32166 35740 53610 64332 76841 80415 107220 153682 160830 230523 307364 321660 384205 461046 691569 768410 922092 1152615 1383138 1536820 2305230 2766276 3457845 4610460 6915690 13831380