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131354040 = 23353313307
BaseRepresentation
bin1111101010001…
…00110110111000
3100011011110212110
413311010312320
5232111312130
621011212320
73153330246
oct765046670
9304143773
10131354040
1168167264
1237ba70a0
13212a0bac
1413633796
15b7e9ab0
hex7d44db8

131354040 has 64 divisors (see below), whose sum is σ = 395372160. Its totient is φ = 34911360.

The previous prime is 131354029. The next prime is 131354051. The reversal of 131354040 is 40453131.

It is an interprime number because it is at equal distance from previous prime (131354029) and next prime (131354051).

It is a junction number, because it is equal to n+sod(n) for n = 131353998 and 131354016.

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, 38067 + ... + 41373.

It is an arithmetic number, because the mean of its divisors is an integer number (6177690).

Almost surely, 2131354040 is an apocalyptic number.

131354040 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 131354040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197686080).

131354040 is an abundant number, since it is smaller than the sum of its proper divisors (264018120).

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

131354040 is a wasteful number, since it uses less digits than its factorization.

131354040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 131354040 is about 11460.9790157735. The cubic root of 131354040 is about 508.3324234210.

Subtracting from 131354040 its reverse (40453131), we obtain a palindrome (90900909).

The spelling of 131354040 in words is "one hundred thirty-one million, three hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 662 993 1324 1655 1986 2648 3307 3310 3972 4965 6614 6620 7944 9921 9930 13228 13240 16535 19842 19860 26456 33070 39684 39720 49605 66140 79368 99210 132280 198420 396840 1094617 2189234 3283851 4378468 5473085 6567702 8756936 10946170 13135404 16419255 21892340 26270808 32838510 43784680 65677020 131354040