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78040128 = 2632691511
BaseRepresentation
bin1001010011011…
…00110001000000
312102211211221010
410221230301000
5124434241003
611424400520
71635221145
oct451546100
9172754833
1078040128
1140062781
1222176140
13132252ba
14a5163cc
156cb8003
hex4a6cc40

78040128 has 56 divisors (see below), whose sum is σ = 207385920. Its totient is φ = 25899520.

The previous prime is 78040121. The next prime is 78040153. The reversal of 78040128 is 82104087.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 78040095 and 78040104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78040121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50893 + ... + 52403.

It is an arithmetic number, because the mean of its divisors is an integer number (3703320).

Almost surely, 278040128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103692960).

78040128 is an abundant number, since it is smaller than the sum of its proper divisors (129345792).

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

78040128 is a wasteful number, since it uses less digits than its factorization.

78040128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 78040128 is about 8834.0323748558. The cubic root of 78040128 is about 427.3391262270.

The spelling of 78040128 in words is "seventy-eight million, forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 269 538 807 1076 1511 1614 2152 3022 3228 4304 4533 6044 6456 8608 9066 12088 12912 17216 18132 24176 25824 36264 48352 51648 72528 96704 145056 290112 406459 812918 1219377 1625836 2438754 3251672 4877508 6503344 9755016 13006688 19510032 26013376 39020064 78040128