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131107470 = 23513379887
BaseRepresentation
bin1111101000010…
…00101010001110
3100010200221122020
413310020222032
5232030414340
621002031010
73151252344
oct764105216
9303627566
10131107470
1168008a8a
1237aa8466
13212158b0
14135ab994
15b79b9d0
hex7d08a8e

131107470 has 64 divisors (see below), whose sum is σ = 340139520. Its totient is φ = 32151168.

The previous prime is 131107439. The next prime is 131107477. The reversal of 131107470 is 74701131.

It is a self number, because there is not a number n which added to its sum of digits gives 131107470.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131107477) 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 31 ways as a sum of consecutive naturals, for example, 147367 + ... + 148253.

It is an arithmetic number, because the mean of its divisors is an integer number (5314680).

Almost surely, 2131107470 is an apocalyptic number.

131107470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131107470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170069760).

131107470 is an abundant number, since it is smaller than the sum of its proper divisors (209032050).

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

131107470 is a wasteful number, since it uses less digits than its factorization.

131107470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289.

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 131107470 is about 11450.2170285109. The cubic root of 131107470 is about 508.0141537173.

The spelling of 131107470 in words is "one hundred thirty-one million, one hundred seven thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 379 390 758 887 1137 1774 1895 2274 2661 3790 4435 4927 5322 5685 8870 9854 11370 11531 13305 14781 23062 24635 26610 29562 34593 49270 57655 69186 73905 115310 147810 172965 336173 345930 672346 1008519 1680865 2017038 3361730 4370249 5042595 8740498 10085190 13110747 21851245 26221494 43702490 65553735 131107470