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132078033 = 361031759
BaseRepresentation
bin1111101111101…
…01100111010001
3100012112021000000
413313311213101
5232302444113
621034520213
73162434103
oct767654721
9305467000
10132078033
11686111aa
1238296069
13214955a9
1413781573
15b8de373
hex7df59d1

132078033 has 28 divisors (see below), whose sum is σ = 200062720. Its totient is φ = 87147576.

The previous prime is 132078019. The next prime is 132078137. The reversal of 132078033 is 330870231.

It is not a de Polignac number, because 132078033 - 26 = 132077969 is a prime.

It is a super-2 number, since 2×1320780332 = 34889213602298178, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132077988 and 132078006.

It is not an unprimeable number, because it can be changed into a prime (132078533) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 74208 + ... + 75966.

Almost surely, 2132078033 is an apocalyptic number.

It is an amenable number.

132078033 is a deficient number, since it is larger than the sum of its proper divisors (67984687).

132078033 is an equidigital number, since it uses as much as digits as its factorization.

132078033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 132078033 is about 11492.5207417694. The cubic root of 132078033 is about 509.2646495772.

The spelling of 132078033 in words is "one hundred thirty-two million, seventy-eight thousand, thirty-three".

Divisors: 1 3 9 27 81 103 243 309 729 927 1759 2781 5277 8343 15831 25029 47493 75087 142479 181177 427437 543531 1282311 1630593 4891779 14675337 44026011 132078033