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132145680 = 2435550607
BaseRepresentation
bin1111110000001…
…10001000010000
3100012122200210110
413320012020100
5232312130210
621040201320
73163135242
oct770061020
9305580713
10132145680
1168658007
1238309240
13214ba314
141379c092
15b904420
hex7e06210

132145680 has 40 divisors (see below), whose sum is σ = 409652352. Its totient is φ = 35238784.

The previous prime is 132145667. The next prime is 132145693. The reversal of 132145680 is 86541231.

It is an interprime number because it is at equal distance from previous prime (132145667) and next prime (132145693).

It is a tau number, because it is divible by the number of its divisors (40).

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

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, 275064 + ... + 275543.

Almost surely, 2132145680 is an apocalyptic number.

132145680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132145680 is an abundant number, since it is smaller than the sum of its proper divisors (277506672).

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

132145680 is a wasteful number, since it uses less digits than its factorization.

132145680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550623 (or 550617 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 132145680 is about 11495.4634530322. The cubic root of 132145680 is about 509.3515788596.

The spelling of 132145680 in words is "one hundred thirty-two million, one hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 550607 1101214 1651821 2202428 2753035 3303642 4404856 5506070 6607284 8259105 8809712 11012140 13214568 16518210 22024280 26429136 33036420 44048560 66072840 132145680