Search a number
-
+
131204480 = 2751118637
BaseRepresentation
bin1111101001000…
…00010110000000
3100010212212201012
413310200112000
5232042020410
621004100052
73152135231
oct764402600
9303785635
10131204480
1168074960
1237b34628
132124aab4
14135d5088
15b7ba605
hex7d20580

131204480 has 64 divisors (see below), whose sum is σ = 342193680. Its totient is φ = 47708160.

The previous prime is 131204467. The next prime is 131204501. The reversal of 131204480 is 84402131.

131204480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2279 + ... + 16358.

Almost surely, 2131204480 is an apocalyptic number.

131204480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131204480 is an abundant number, since it is smaller than the sum of its proper divisors (210989200).

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

131204480 is a wasteful number, since it uses less digits than its factorization.

131204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18667 (or 18655 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 131204480 is about 11454.4524094345. The cubic root of 131204480 is about 508.1394206781.

The spelling of 131204480 in words is "one hundred thirty-one million, two hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 18637 37274 74548 93185 149096 186370 205007 298192 372740 410014 596384 745480 820028 1025035 1192768 1490960 1640056 2050070 2385536 2981920 3280112 4100140 5963840 6560224 8200280 11927680 13120448 16400560 26240896 32801120 65602240 131204480