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131992740 = 2236511823
BaseRepresentation
bin1111101111000…
…00110010100100
3100012100221000000
413313200302210
5232242231430
621033021300
73161630325
oct767406244
9305327000
10131992740
1168563110
1238254830
1321465819
141375c44c
15b8c3e60
hex7de0ca4

131992740 has 168 divisors, whose sum is σ = 453918528. Its totient is φ = 31959360.

The previous prime is 131992723. The next prime is 131992781. The reversal of 131992740 is 47299131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131992695 and 131992704.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 159969 + ... + 160791.

It is an arithmetic number, because the mean of its divisors is an integer number (2701896).

Almost surely, 2131992740 is an apocalyptic number.

131992740 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 131992740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226959264).

131992740 is an abundant number, since it is smaller than the sum of its proper divisors (321925788).

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

131992740 is a wasteful number, since it uses less digits than its factorization.

131992740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 131992740 is about 11488.8093377861. The cubic root of 131992740 is about 509.1550021153.

The spelling of 131992740 in words is "one hundred thirty-one million, nine hundred ninety-two thousand, seven hundred forty".