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132002112 = 2631162501
BaseRepresentation
bin1111101111000…
…11000101000000
3100012101101212010
413313203011000
5232243031422
621033132520
73161666544
oct767430500
9305341763
10132002112
116856a160
123825a140
1321469b78
1413761a24
15b8c6b0c
hex7de3140

132002112 has 56 divisors (see below), whose sum is σ = 381012192. Its totient is φ = 40000000.

The previous prime is 132002077. The next prime is 132002119. The reversal of 132002112 is 211200231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132002119) 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 7 ways as a sum of consecutive naturals, for example, 29139 + ... + 33362.

Almost surely, 2132002112 is an apocalyptic number.

132002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132002112 is an abundant number, since it is smaller than the sum of its proper divisors (249010080).

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

132002112 is a wasteful number, since it uses less digits than its factorization.

132002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62527 (or 62517 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 132002112 is about 11489.2172057108. The cubic root of 132002112 is about 509.1670524946.

Adding to 132002112 its reverse (211200231), we get a palindrome (343202343).

It can be divided in two parts, 13200 and 2112, that multiplied together give a square (27878400 = 52802).

The spelling of 132002112 in words is "one hundred thirty-two million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 62501 125002 187503 250004 375006 500008 687511 750012 1000016 1375022 1500024 2000032 2062533 2750044 3000048 4000064 4125066 5500088 6000096 8250132 11000176 12000192 16500264 22000352 33000528 44000704 66001056 132002112