Search a number
-
+
131470440 = 23353373251
BaseRepresentation
bin1111101011000…
…01010001101000
3100011101101112120
413311201101220
5232124023230
621013511240
73154323513
oct765412150
9304341476
10131470440
1168236762
1238042520
1321311b7a
1413663d7a
15b81e310
hex7d61468

131470440 has 64 divisors (see below), whose sum is σ = 395703360. Its totient is φ = 34944000.

The previous prime is 131470429. The next prime is 131470441. The reversal of 131470440 is 44074131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131470440.

It is not an unprimeable number, because it can be changed into a prime (131470441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38815 + ... + 42065.

It is an arithmetic number, because the mean of its divisors is an integer number (6182865).

Almost surely, 2131470440 is an apocalyptic number.

131470440 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 131470440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197851680).

131470440 is an abundant number, since it is smaller than the sum of its proper divisors (264232920).

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

131470440 is a wasteful number, since it uses less digits than its factorization.

131470440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 131470440 is about 11466.0559914907. The cubic root of 131470440 is about 508.4825328118.

The spelling of 131470440 in words is "one hundred thirty-one million, four hundred seventy thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 337 674 1011 1348 1685 2022 2696 3251 3370 4044 5055 6502 6740 8088 9753 10110 13004 13480 16255 19506 20220 26008 32510 39012 40440 48765 65020 78024 97530 130040 195060 390120 1095587 2191174 3286761 4382348 5477935 6573522 8764696 10955870 13147044 16433805 21911740 26294088 32867610 43823480 65735220 131470440