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132124032 = 2732114691
BaseRepresentation
bin1111110000000…
…00110110000000
3100012121121002200
413320000312000
5232310432112
621035513200
73163015155
oct770006600
9305547080
10132124032
1168642817
12382b8800
13214b0501
141379422c
15b8eccdc
hex7e00d80

132124032 has 48 divisors (see below), whose sum is σ = 380203980. Its totient is φ = 44040960.

The previous prime is 132124019. The next prime is 132124039. The reversal of 132124032 is 230421231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 132123996 and 132124014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132124039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56194 + ... + 58497.

Almost surely, 2132124032 is an apocalyptic number.

132124032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132124032 is an abundant number, since it is smaller than the sum of its proper divisors (248079948).

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

132124032 is a wasteful number, since it uses less digits than its factorization.

132124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114711 (or 114696 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132124032 is about 11494.5218256350. The cubic root of 132124032 is about 509.3237634841.

Adding to 132124032 its reverse (230421231), we get a palindrome (362545263).

The spelling of 132124032 in words is "one hundred thirty-two million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 114691 229382 344073 458764 688146 917528 1032219 1376292 1835056 2064438 2752584 3670112 4128876 5505168 7340224 8257752 11010336 14680448 16515504 22020672 33031008 44041344 66062016 132124032