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132315444 = 2235197691
BaseRepresentation
bin1111110001011…
…11100100110100
3100012222022200000
413320233210310
5232333043234
621043551300
73164443212
oct770574464
9305868600
10132315444
1168763608
123838b530
1321549681
1413803cb2
15b939899
hex7e2f934

132315444 has 72 divisors (see below), whose sum is σ = 349116768. Its totient is φ = 43817760.

The previous prime is 132315439. The next prime is 132315457. The reversal of 132315444 is 444513231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 191139 + ... + 191829.

It is an arithmetic number, because the mean of its divisors is an integer number (4848844).

Almost surely, 2132315444 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 132315444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174558384).

132315444 is an abundant number, since it is smaller than the sum of its proper divisors (216801324).

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

132315444 is a wasteful number, since it uses less digits than its factorization.

132315444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 893 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 132315444 is about 11502.8450393805. The cubic root of 132315444 is about 509.5696022801.

Adding to 132315444 its reverse (444513231), we get a palindrome (576828675).

The spelling of 132315444 in words is "one hundred thirty-two million, three hundred fifteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 197 243 324 394 486 591 691 788 972 1182 1382 1773 2073 2364 2764 3546 4146 5319 6219 7092 8292 10638 12438 15957 18657 21276 24876 31914 37314 47871 55971 63828 74628 95742 111942 136127 167913 191484 223884 272254 335826 408381 544508 671652 816762 1225143 1633524 2450286 3675429 4900572 7350858 11026287 14701716 22052574 33078861 44105148 66157722 132315444