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131697940 = 225111015927
BaseRepresentation
bin1111101100110…
…00110100010100
3100011210221121111
413312120310110
5232203313230
621022424404
73156262003
oct766306424
9304727544
10131697940
1168381680
1238132104
132139159a
14136c2c3a
15b86692a
hex7d98d14

131697940 has 48 divisors (see below), whose sum is σ = 304746624. Its totient is φ = 47408000.

The previous prime is 131697893. The next prime is 131697983. The reversal of 131697940 is 49796131.

It is a junction number, because it is equal to n+sod(n) for n = 131697893 and 131697902.

It is a congruent number.

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, 19257 + ... + 25183.

It is an arithmetic number, because the mean of its divisors is an integer number (6348888).

Almost surely, 2131697940 is an apocalyptic number.

131697940 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 131697940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152373312).

131697940 is an abundant number, since it is smaller than the sum of its proper divisors (173048684).

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

131697940 is a wasteful number, since it uses less digits than its factorization.

131697940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6048 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 131697940 is about 11475.9722899631. The cubic root of 131697940 is about 508.7756611002.

The spelling of 131697940 in words is "one hundred thirty-one million, six hundred ninety-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 5927 11110 11854 22220 23708 29635 59270 65197 118540 130394 260788 325985 598627 651970 1197254 1303940 2394508 2993135 5986270 6584897 11972540 13169794 26339588 32924485 65848970 131697940