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131040306 = 23219936583
BaseRepresentation
bin1111100111110…
…00010000110010
3100010120112111200
413303320100302
5232021242211
621000352030
73150552465
oct763702062
9303515450
10131040306
1167a72581
1237a75616
13211c1157
14135912dc
15b786b56
hex7cf8432

131040306 has 24 divisors (see below), whose sum is σ = 285355200. Its totient is φ = 43459416.

The previous prime is 131040281. The next prime is 131040319. The reversal of 131040306 is 603040131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14710 + ... + 21873.

It is an arithmetic number, because the mean of its divisors is an integer number (11889800).

Almost surely, 2131040306 is an apocalyptic number.

131040306 is an abundant number, since it is smaller than the sum of its proper divisors (154314894).

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

131040306 is a wasteful number, since it uses less digits than its factorization.

131040306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36790 (or 36787 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131040306 is about 11447.2837826272. The cubic root of 131040306 is about 507.9273900603.

Adding to 131040306 its reverse (603040131), we get a palindrome (734080437).

It can be divided in two parts, 1310 and 40306, that added together give a triangular number (41616 = T288).

The spelling of 131040306 in words is "one hundred thirty-one million, forty thousand, three hundred six".

Divisors: 1 2 3 6 9 18 199 398 597 1194 1791 3582 36583 73166 109749 219498 329247 658494 7280017 14560034 21840051 43680102 65520153 131040306