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131980240 = 2457235679
BaseRepresentation
bin1111101110111…
…01101111010000
3100012100021212001
413313131233100
5232241331430
621032443344
73161546020
oct767355720
9305307761
10131980240
1168554787
1238249554
132145cc22
1413757a80
15b8c03ca
hex7dddbd0

131980240 has 40 divisors (see below), whose sum is σ = 350691840. Its totient is φ = 45250176.

The previous prime is 131980217. The next prime is 131980249. The reversal of 131980240 is 42089131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 131980199 and 131980208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131980249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117280 + ... + 118399.

It is an arithmetic number, because the mean of its divisors is an integer number (8767296).

Almost surely, 2131980240 is an apocalyptic number.

131980240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131980240 is an abundant number, since it is smaller than the sum of its proper divisors (218711600).

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

131980240 is a wasteful number, since it uses less digits than its factorization.

131980240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235699 (or 235693 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 131980240 is about 11488.2653172705. The cubic root of 131980240 is about 509.1389289120.

The spelling of 131980240 in words is "one hundred thirty-one million, nine hundred eighty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 235679 471358 942716 1178395 1649753 1885432 2356790 3299506 3770864 4713580 6599012 8248765 9427160 13198024 16497530 18854320 26396048 32995060 65990120 131980240