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132429540 = 22352207159
BaseRepresentation
bin1111110010010…
…11011011100100
3100020012010011210
413321023123210
5232400221130
621050231420
73165426645
oct771133344
9306163153
10132429540
1168831301
1238425570
1321589599
14138336cc
15b95d5b0
hex7e4b6e4

132429540 has 24 divisors (see below), whose sum is σ = 370802880. Its totient is φ = 35314528.

The previous prime is 132429523. The next prime is 132429553. The reversal of 132429540 is 45924231.

It is a super-2 number, since 2×1324295402 = 35075166129223200, which contains 22 as substring.

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

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 132429498 and 132429507.

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, 1103520 + ... + 1103639.

It is an arithmetic number, because the mean of its divisors is an integer number (15450120).

Almost surely, 2132429540 is an apocalyptic number.

132429540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132429540 is an abundant number, since it is smaller than the sum of its proper divisors (238373340).

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

132429540 is a wasteful number, since it uses less digits than its factorization.

132429540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207171 (or 2207169 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 132429540 is about 11507.8034394058. The cubic root of 132429540 is about 509.7160279938.

The spelling of 132429540 in words is "one hundred thirty-two million, four hundred twenty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2207159 4414318 6621477 8828636 11035795 13242954 22071590 26485908 33107385 44143180 66214770 132429540