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131422440 = 23353133499
BaseRepresentation
bin1111101010101…
…01100011101000
3100011021221200210
413311111203220
5232121004230
621012501120
73154033542
oct765254350
9304257623
10131422440
1168203696
123801a7a0
13212c6076
1413650692
15b80eeb0
hex7d558e8

131422440 has 64 divisors (see below), whose sum is σ = 395640000. Its totient is φ = 34924032.

The previous prime is 131422381. The next prime is 131422453. The reversal of 131422440 is 44224131.

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, 35811 + ... + 39309.

It is an arithmetic number, because the mean of its divisors is an integer number (6181875).

Almost surely, 2131422440 is an apocalyptic number.

131422440 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 131422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197820000).

131422440 is an abundant number, since it is smaller than the sum of its proper divisors (264217560).

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

131422440 is a wasteful number, since it uses less digits than its factorization.

131422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 131422440 is about 11463.9626656754. The cubic root of 131422440 is about 508.4206427714.

Adding to 131422440 its reverse (44224131), we get a palindrome (175646571).

The spelling of 131422440 in words is "one hundred thirty-one million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 313 626 939 1252 1565 1878 2504 3130 3499 3756 4695 6260 6998 7512 9390 10497 12520 13996 17495 18780 20994 27992 34990 37560 41988 52485 69980 83976 104970 139960 209940 419880 1095187 2190374 3285561 4380748 5475935 6571122 8761496 10951870 13142244 16427805 21903740 26284488 32855610 43807480 65711220 131422440