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132231456 = 25327107613
BaseRepresentation
bin1111110000110…
…11000100100000
3100012211001110100
413320123010200
5232322401311
621042102400
73163643310
oct770330440
9305731410
10132231456
11687064a5
123834aa00
132151a386
14137c1440
15b91ea56
hex7e1b120

132231456 has 144 divisors (see below), whose sum is σ = 434476224. Its totient is φ = 37366272.

The previous prime is 132231427. The next prime is 132231481. The reversal of 132231456 is 654132231.

It is a tau number, because it is divible by the number of its divisors (144).

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, 215406 + ... + 216018.

It is an arithmetic number, because the mean of its divisors is an integer number (3017196).

Almost surely, 2132231456 is an apocalyptic number.

132231456 is a gapful number since it is divisible by the number (16) 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 132231456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217238112).

132231456 is an abundant number, since it is smaller than the sum of its proper divisors (302244768).

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

132231456 is a wasteful number, since it uses less digits than its factorization.

132231456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 132231456 is about 11499.1937108651. The cubic root of 132231456 is about 509.4617620335.

Adding to 132231456 its reverse (654132231), we get a palindrome (786363687).

The spelling of 132231456 in words is "one hundred thirty-two million, two hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 107 112 126 144 168 214 224 252 288 321 336 428 504 613 642 672 749 856 963 1008 1226 1284 1498 1712 1839 1926 2016 2247 2452 2568 2996 3424 3678 3852 4291 4494 4904 5136 5517 5992 6741 7356 7704 8582 8988 9808 10272 11034 11984 12873 13482 14712 15408 17164 17976 19616 22068 23968 25746 26964 29424 30816 34328 35952 38619 44136 51492 53928 58848 65591 68656 71904 77238 88272 102984 107856 131182 137312 154476 176544 196773 205968 215712 262364 308952 393546 411936 459137 524728 590319 617904 787092 918274 1049456 1180638 1235808 1377411 1574184 1836548 2098912 2361276 2754822 3148368 3673096 4132233 4722552 5509644 6296736 7346192 8264466 9445104 11019288 14692384 16528932 18890208 22038576 33057864 44077152 66115728 132231456