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78135077 = 1729158489
BaseRepresentation
bin1001010100000…
…11111100100101
312110000200011202
410222003330211
5130000310302
611430412245
71636065026
oct452037445
9173020152
1078135077
1140118049
1222201085
1313259597
14a53cc4d
156cd6202
hex4a83f25

78135077 has 8 divisors (see below), whose sum is σ = 85584600. Its totient is φ = 71002624.

The previous prime is 78135067. The next prime is 78135089. The reversal of 78135077 is 77053187.

It can be written as a sum of positive squares in 4 ways, for example, as 2114116 + 76020961 = 1454^2 + 8719^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 78135077 - 24 = 78135061 is a prime.

It is a super-2 number, since 2×781350772 = 12210180515591858, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 78135077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78135017) 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, 78752 + ... + 79737.

It is an arithmetic number, because the mean of its divisors is an integer number (10698075).

Almost surely, 278135077 is an apocalyptic number.

It is an amenable number.

78135077 is a deficient number, since it is larger than the sum of its proper divisors (7449523).

78135077 is a wasteful number, since it uses less digits than its factorization.

78135077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158535.

The product of its (nonzero) digits is 41160, while the sum is 38.

The square root of 78135077 is about 8839.4047876540. The cubic root of 78135077 is about 427.5123660684.

The spelling of 78135077 in words is "seventy-eight million, one hundred thirty-five thousand, seventy-seven".

Divisors: 1 17 29 493 158489 2694313 4596181 78135077