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132398064 = 243611351
BaseRepresentation
bin1111110010000…
…11101111110000
3100020010112000000
413321003233300
5232343214224
621045430000
73165236121
oct771035760
9306115000
10132398064
116880a697
123840b300
1321578166
1413826048
15b9540c9
hex7e43bf0

132398064 has 70 divisors (see below), whose sum is σ = 384639816. Its totient is φ = 44128800.

The previous prime is 132398047. The next prime is 132398093. The reversal of 132398064 is 460893231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5989 + ... + 17339.

Almost surely, 2132398064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132398064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192319908).

132398064 is an abundant number, since it is smaller than the sum of its proper divisors (252241752).

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

132398064 is an equidigital number, since it uses as much as digits as its factorization.

132398064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11377 (or 11356 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 132398064 is about 11506.4357643886. The cubic root of 132398064 is about 509.6756415036.

The spelling of 132398064 in words is "one hundred thirty-two million, three hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11351 11664 22702 34053 45404 68106 90808 102159 136212 181616 204318 272424 306477 408636 544848 612954 817272 919431 1225908 1634544 1838862 2451816 2758293 3677724 4903632 5516586 7355448 8274879 11033172 14710896 16549758 22066344 33099516 44132688 66199032 132398064