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78000132 = 22372413853
BaseRepresentation
bin1001010011000…
…11000000000100
312102202211001210
410221203000010
5124432001012
611423451420
71634663430
oct451430004
9172684053
1078000132
1140035721
1222156b70
1313210032
14a5059c0
156cab23c
hex4a63004

78000132 has 48 divisors (see below), whose sum is σ = 208917632. Its totient is φ = 22187520.

The previous prime is 78000121. The next prime is 78000133. The reversal of 78000132 is 23100087.

78000132 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

78000132 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 78000099 and 78000108.

It is not an unprimeable number, because it can be changed into a prime (78000133) 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, 18318 + ... + 22170.

Almost surely, 278000132 is an apocalyptic number.

It is an amenable number.

78000132 is an abundant number, since it is smaller than the sum of its proper divisors (130917500).

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

78000132 is a wasteful number, since it uses less digits than its factorization.

78000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 78000132 is about 8831.7683393531. The cubic root of 78000132 is about 427.2661091914.

The spelling of 78000132 in words is "seventy-eight million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 241 482 723 964 1446 1687 2892 3374 3853 5061 6748 7706 10122 11559 15412 20244 23118 26971 46236 53942 80913 107884 161826 323652 928573 1857146 2785719 3714292 5571438 6500011 11142876 13000022 19500033 26000044 39000066 78000132