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132007428 = 22337174613
BaseRepresentation
bin1111101111001…
…00011000000100
3100012101200011000
413313210120010
5232243214203
621033213300
73162021210
oct767443004
9305350130
10132007428
1168573153
1238261230
132146c407
1413763940
15b8c84a3
hex7de4604

132007428 has 48 divisors (see below), whose sum is σ = 391135360. Its totient is φ = 37716192.

The previous prime is 132007427. The next prime is 132007429. The reversal of 132007428 is 824700231.

It is an interprime number because it is at equal distance from previous prime (132007427) and next prime (132007429).

It is a super-2 number, since 2×1320074282 = 34851922094350368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (132007423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86551 + ... + 88062.

Almost surely, 2132007428 is an apocalyptic number.

132007428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132007428 is an abundant number, since it is smaller than the sum of its proper divisors (259127932).

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

132007428 is a wasteful number, since it uses less digits than its factorization.

132007428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174633 (or 174625 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 132007428 is about 11489.4485507356. The cubic root of 132007428 is about 509.1738874754.

Adding to 132007428 its reverse (824700231), we get a palindrome (956707659).

The spelling of 132007428 in words is "one hundred thirty-two million, seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 174613 349226 523839 698452 1047678 1222291 1571517 2095356 2444582 3143034 3666873 4714551 4889164 6286068 7333746 9429102 11000619 14667492 18858204 22001238 33001857 44002476 66003714 132007428