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132215424 = 27311113277
BaseRepresentation
bin1111110000101…
…11001010000000
3100012210020110120
413320113022000
5232321343144
621041500240
73163545465
oct770271200
9305706416
10132215424
11686a5450
1238341680
1321512ca3
14137b966c
15b919e19
hex7e17280

132215424 has 128 divisors (see below), whose sum is σ = 387910080. Its totient is φ = 39567360.

The previous prime is 132215417. The next prime is 132215429. The reversal of 132215424 is 424512231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 132215394 and 132215403.

It is not an unprimeable number, because it can be changed into a prime (132215429) 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, 477174 + ... + 477450.

Almost surely, 2132215424 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 132215424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193955040).

132215424 is an abundant number, since it is smaller than the sum of its proper divisors (255694656).

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

132215424 is a wasteful number, since it uses less digits than its factorization.

132215424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 132215424 is about 11498.4965973818. The cubic root of 132215424 is about 509.4411718217.

Adding to 132215424 its reverse (424512231), we get a palindrome (556727655).

The spelling of 132215424 in words is "one hundred thirty-two million, two hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 128 132 176 192 226 264 277 339 352 384 452 528 554 678 704 831 904 1056 1108 1243 1356 1408 1662 1808 2112 2216 2486 2712 3047 3324 3616 3729 4224 4432 4972 5424 6094 6648 7232 7458 8864 9141 9944 10848 12188 13296 14464 14916 17728 18282 19888 21696 24376 26592 29832 31301 35456 36564 39776 43392 48752 53184 59664 62602 73128 79552 93903 97504 106368 119328 125204 146256 159104 187806 195008 238656 250408 292512 344311 375612 390016 477312 500816 585024 688622 751224 1001632 1032933 1170048 1377244 1502448 2003264 2065866 2754488 3004896 4006528 4131732 5508976 6009792 8263464 11017952 12019584 16526928 22035904 33053856 44071808 66107712 132215424