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132400512 = 27321923263
BaseRepresentation
bin1111110010001…
…00010110000000
3100020010122100200
413321010112000
5232343304022
621045445200
73165246216
oct771042600
9306118320
10132400512
1168811512
1238410800
13215792ca
1413826cb6
15b954bac
hex7e44580

132400512 has 192 divisors, whose sum is σ = 420076800. Its totient is φ = 39840768.

The previous prime is 132400507. The next prime is 132400517. The reversal of 132400512 is 215004231.

It is an interprime number because it is at equal distance from previous prime (132400507) and next prime (132400517).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132400517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503293 + ... + 503555.

It is an arithmetic number, because the mean of its divisors is an integer number (2187900).

Almost surely, 2132400512 is an apocalyptic number.

132400512 is a gapful number since it is divisible by the number (12) 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 132400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210038400).

132400512 is an abundant number, since it is smaller than the sum of its proper divisors (287676288).

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

132400512 is a wasteful number, since it uses less digits than its factorization.

132400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132400512 is about 11506.5421391485. The cubic root of 132400512 is about 509.6787827335.

Adding to 132400512 its reverse (215004231), we get a palindrome (347404743).

The spelling of 132400512 in words is "one hundred thirty-two million, four hundred thousand, five hundred twelve".