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132448512 = 283771347
BaseRepresentation
bin1111110010100…
…00000100000000
3100020020002012110
413321100010000
5232401323022
621050455320
73165536160
oct771200400
9306202173
10132448512
1168844589
1238434540
1321595101
141383a5a0
15b96400c
hex7e50100

132448512 has 144 divisors (see below), whose sum is σ = 409715712. Its totient is φ = 37201920.

The previous prime is 132448483. The next prime is 132448517. The reversal of 132448512 is 215844231.

It is a self number, because there is not a number n which added to its sum of digits gives 132448512.

It is not an unprimeable number, because it can be changed into a prime (132448517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381523 + ... + 381869.

It is an arithmetic number, because the mean of its divisors is an integer number (2845248).

Almost surely, 2132448512 is an apocalyptic number.

132448512 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 132448512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204857856).

132448512 is an abundant number, since it is smaller than the sum of its proper divisors (277267200).

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

132448512 is an equidigital number, since it uses as much as digits as its factorization.

132448512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 430 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 132448512 is about 11508.6277201063. The cubic root of 132448512 is about 509.7403676558.

The spelling of 132448512 in words is "one hundred thirty-two million, four hundred forty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 84 96 112 128 142 168 192 213 224 256 284 336 347 384 426 448 497 568 672 694 768 852 896 994 1041 1136 1344 1388 1491 1704 1792 1988 2082 2272 2429 2688 2776 2982 3408 3976 4164 4544 4858 5376 5552 5964 6816 7287 7952 8328 9088 9716 11104 11928 13632 14574 15904 16656 18176 19432 22208 23856 24637 27264 29148 31808 33312 38864 44416 47712 49274 54528 58296 63616 66624 73911 77728 88832 95424 98548 116592 127232 133248 147822 155456 172459 190848 197096 233184 266496 295644 310912 344918 381696 394192 466368 517377 591288 621824 689836 788384 932736 1034754 1182576 1379672 1576768 1865472 2069508 2365152 2759344 3153536 4139016 4730304 5518688 6307072 8278032 9460608 11037376 16556064 18921216 22074752 33112128 44149504 66224256 132448512