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131732480 = 2105112339
BaseRepresentation
bin1111101101000…
…01010000000000
3100011212200222202
413312201100000
5232210414410
621023252332
73156464465
oct766412000
9304780882
10131732480
11683a5620
123814a0a8
13213a4219
14136d166c
15b871ca5
hex7da1400

131732480 has 88 divisors (see below), whose sum is σ = 344878560. Its totient is φ = 47882240.

The previous prime is 131732459. The next prime is 131732527. The reversal of 131732480 is 84237131.

It is a tau number, because it is divible by the number of its divisors (88).

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, 55151 + ... + 57489.

Almost surely, 2131732480 is an apocalyptic number.

131732480 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 131732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172439280).

131732480 is an abundant number, since it is smaller than the sum of its proper divisors (213146080).

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

131732480 is a wasteful number, since it uses less digits than its factorization.

131732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 131732480 is about 11477.4770746885. The cubic root of 131732480 is about 508.8201355374.

The spelling of 131732480 in words is "one hundred thirty-one million, seven hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2339 2560 2816 3520 4678 5120 5632 7040 9356 11264 11695 14080 18712 23390 25729 28160 37424 46780 51458 56320 74848 93560 102916 128645 149696 187120 205832 257290 299392 374240 411664 514580 598784 748480 823328 1029160 1197568 1496960 1646656 2058320 2395136 2993920 3293312 4116640 5987840 6586624 8233280 11975680 13173248 16466560 26346496 32933120 65866240 131732480