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131733480 = 23354723357
BaseRepresentation
bin1111101101000…
…01011111101000
3100011212202100210
413312201133220
5232210432410
621023301120
73156500424
oct766413750
9304782323
10131733480
11683a634a
123814a7a0
13213a4808
14136d1b84
15b872220
hex7da17e8

131733480 has 64 divisors (see below), whose sum is σ = 403626240. Its totient is φ = 34380032.

The previous prime is 131733473. The next prime is 131733499. The reversal of 131733480 is 84337131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

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, 6039 + ... + 17318.

It is an arithmetic number, because the mean of its divisors is an integer number (6306660).

Almost surely, 2131733480 is an apocalyptic number.

131733480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131733480 is an abundant number, since it is smaller than the sum of its proper divisors (271892760).

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

131733480 is a wasteful number, since it uses less digits than its factorization.

131733480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23418 (or 23414 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 131733480 is about 11477.5206381866. The cubic root of 131733480 is about 508.8214230428.

It can be divided in two parts, 13173 and 3480, that added together give a triangular number (16653 = T182).

The spelling of 131733480 in words is "one hundred thirty-one million, seven hundred thirty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 23357 46714 70071 93428 116785 140142 186856 233570 280284 350355 467140 560568 700710 934280 1097779 1401420 2195558 2802840 3293337 4391116 5488895 6586674 8782232 10977790 13173348 16466685 21955580 26346696 32933370 43911160 65866740 131733480