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78135804 = 22322718009
BaseRepresentation
bin1001010100001…
…00000111111100
312110000201011200
410222010013330
5130000321204
611430415500
71636100115
oct452040774
9173021150
1078135804
114011864a
1222201590
1313259a06
14a53d20c
156cd6539
hex4a841fc

78135804 has 36 divisors (see below), whose sum is σ = 198263520. Its totient is φ = 25945920.

The previous prime is 78135803. The next prime is 78135821. The reversal of 78135804 is 40853187.

78135804 is a `hidden beast` number, since 78 + 1 + 3 + 580 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×781358042 = 12210407733452832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78135803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5752 + ... + 13760.

It is an arithmetic number, because the mean of its divisors is an integer number (5507320).

Almost surely, 278135804 is an apocalyptic number.

It is an amenable number.

78135804 is an abundant number, since it is smaller than the sum of its proper divisors (120127716).

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

78135804 is a wasteful number, since it uses less digits than its factorization.

78135804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8290 (or 8285 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 78135804 is about 8839.4459102367. The cubic root of 78135804 is about 427.5136919796.

It can be divided in two parts, 781 and 35804, that added together give a triangular number (36585 = T270).

The spelling of 78135804 in words is "seventy-eight million, one hundred thirty-five thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 271 542 813 1084 1626 2439 3252 4878 8009 9756 16018 24027 32036 48054 72081 96108 144162 288324 2170439 4340878 6511317 8681756 13022634 19533951 26045268 39067902 78135804