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131568472 = 2375397457
BaseRepresentation
bin1111101011110…
…01001101011000
3100011120101000101
413311321031120
5232140142342
621015545144
73155212360
oct765711530
9304511011
10131568472
11682a3382
123808b1b4
1321347689
141368b9a0
15b83d3b7
hex7d79358

131568472 has 64 divisors (see below), whose sum is σ = 290848320. Its totient is φ = 54632448.

The previous prime is 131568449. The next prime is 131568497. The reversal of 131568472 is 274865131.

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, 287668 + ... + 288124.

It is an arithmetic number, because the mean of its divisors is an integer number (4544505).

Almost surely, 2131568472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131568472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145424160).

131568472 is an abundant number, since it is smaller than the sum of its proper divisors (159279848).

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

131568472 is a wasteful number, since it uses less digits than its factorization.

131568472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 616 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 131568472 is about 11470.3300737163. The cubic root of 131568472 is about 508.6088861200.

The spelling of 131568472 in words is "one hundred thirty-one million, five hundred sixty-eight thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 53 56 97 106 194 212 371 388 424 457 679 742 776 914 1358 1484 1828 2716 2968 3199 3656 5141 5432 6398 10282 12796 20564 24221 25592 35987 41128 44329 48442 71974 88658 96884 143948 169547 177316 193768 287896 310303 339094 354632 620606 678188 1241212 1356376 2349437 2482424 4698874 9397748 16446059 18795496 32892118 65784236 131568472