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131709380 = 22511837213
BaseRepresentation
bin1111101100110…
…11100111000100
3100011211112022012
413312123213010
5232204200010
621022553352
73156340235
oct766334704
9304745265
10131709380
116838a230
1238138858
132139685a
14136c708c
15b86a005
hex7d9b9c4

131709380 has 48 divisors (see below), whose sum is σ = 305411904. Its totient is φ = 47310720.

The previous prime is 131709371. The next prime is 131709397. The reversal of 131709380 is 83907131.

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, 14654 + ... + 21866.

It is an arithmetic number, because the mean of its divisors is an integer number (6362748).

Almost surely, 2131709380 is an apocalyptic number.

131709380 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 131709380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152705952).

131709380 is an abundant number, since it is smaller than the sum of its proper divisors (173702524).

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

131709380 is a wasteful number, since it uses less digits than its factorization.

131709380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7316 (or 7314 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 131709380 is about 11476.4707118521. The cubic root of 131709380 is about 508.7903923482.

The spelling of 131709380 in words is "one hundred thirty-one million, seven hundred nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 7213 9130 14426 18260 28852 36065 72130 79343 144260 158686 317372 396715 598679 793430 1197358 1586860 2394716 2993395 5986790 6585469 11973580 13170938 26341876 32927345 65854690 131709380