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132703680 = 26351371009
BaseRepresentation
bin1111110100011…
…10010111000000
3100020201001020010
413322032113000
5232433004210
621100144520
73200651124
oct772162700
9306631203
10132703680
11689a926a
1238538140
13216542b5
14138a5584
15b9b4920
hex7e8e5c0

132703680 has 112 divisors (see below), whose sum is σ = 424830240. Its totient is φ = 35094528.

The previous prime is 132703667. The next prime is 132703687. The reversal of 132703680 is 86307231.

It is a super-2 number, since 2×1327036802 = 35220533371084800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132703687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131016 + ... + 132024.

Almost surely, 2132703680 is an apocalyptic number.

132703680 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 132703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212415120).

132703680 is an abundant number, since it is smaller than the sum of its proper divisors (292126560).

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

132703680 is a wasteful number, since it uses less digits than its factorization.

132703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1156 counting only the distinct ones).

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

The square root of 132703680 is about 11519.7083296410. The cubic root of 132703680 is about 510.0675035600.

The spelling of 132703680 in words is "one hundred thirty-two million, seven hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 137 160 192 240 274 320 411 480 548 685 822 960 1009 1096 1370 1644 2018 2055 2192 2740 3027 3288 4036 4110 4384 5045 5480 6054 6576 8072 8220 8768 10090 10960 12108 13152 15135 16144 16440 20180 21920 24216 26304 30270 32288 32880 40360 43840 48432 60540 64576 65760 80720 96864 121080 131520 138233 161440 193728 242160 276466 322880 414699 484320 552932 691165 829398 968640 1105864 1382330 1658796 2073495 2211728 2764660 3317592 4146990 4423456 5529320 6635184 8293980 8846912 11058640 13270368 16587960 22117280 26540736 33175920 44234560 66351840 132703680