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132717040 = 2451658963
BaseRepresentation
bin1111110100100…
…01100111110000
3100020201201112221
413322101213300
5232433421130
621100330424
73201035101
oct772214760
9306651487
10132717040
1168a08305
1238543a14
132165a3c1
14138aa3a8
15b9b887a
hex7e919f0

132717040 has 20 divisors (see below), whose sum is σ = 308567304. Its totient is φ = 53086784.

The previous prime is 132717037. The next prime is 132717043. The reversal of 132717040 is 40717231.

It is a happy number.

132717040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132717037) and next prime (132717043).

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1327170402 = 35227625412723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132716996 and 132717014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132717043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 829402 + ... + 829561.

Almost surely, 2132717040 is an apocalyptic number.

132717040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132717040 is an abundant number, since it is smaller than the sum of its proper divisors (175850264).

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

132717040 is a wasteful number, since it uses less digits than its factorization.

132717040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658976 (or 1658970 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 132717040 is about 11520.2881908397. The cubic root of 132717040 is about 510.0846200740.

The spelling of 132717040 in words is "one hundred thirty-two million, seven hundred seventeen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1658963 3317926 6635852 8294815 13271704 16589630 26543408 33179260 66358520 132717040