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132712320 = 2735132409
BaseRepresentation
bin1111110100100…
…00011110000000
3100020201111002010
413322100132000
5232433243240
621100252520
73201015246
oct772203600
9306644063
10132712320
1168a04804
1238541140
1321658200
14138a8796
15b9b7280
hex7e90780

132712320 has 192 divisors, whose sum is σ = 459183600. Its totient is φ = 32587776.

The previous prime is 132712309. The next prime is 132712331. The reversal of 132712320 is 23217231.

It is an interprime number because it is at equal distance from previous prime (132712309) and next prime (132712331).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1327123202 = 35225119759564800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324276 + ... + 324684.

Almost surely, 2132712320 is an apocalyptic number.

132712320 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 132712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229591800).

132712320 is an abundant number, since it is smaller than the sum of its proper divisors (326471280).

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

132712320 is a wasteful number, since it uses less digits than its factorization.

132712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 132712320 is about 11520.0833330319. The cubic root of 132712320 is about 510.0785730536.

Adding to 132712320 its reverse (23217231), we get a palindrome (155929551).

The spelling of 132712320 in words is "one hundred thirty-two million, seven hundred twelve thousand, three hundred twenty".