Search a number
-
+
78019136 = 2613791187
BaseRepresentation
bin1001010011001…
…11101001000000
312102210210010122
410221213221000
5124433103021
611424115412
71635103016
oct451475100
9172723118
1078019136
1140048a28
1222165b68
1313218890
14a50c8b6
156cb1bab
hex4a67a40

78019136 has 56 divisors (see below), whose sum is σ = 168981120. Its totient is φ = 35523072.

The previous prime is 78019121. The next prime is 78019141. The reversal of 78019136 is 63191087.

It is a junction number, because it is equal to n+sod(n) for n = 78019096 and 78019105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65135 + ... + 66321.

It is an arithmetic number, because the mean of its divisors is an integer number (3017520).

Almost surely, 278019136 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 78019136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84490560).

78019136 is an abundant number, since it is smaller than the sum of its proper divisors (90961984).

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

78019136 is a wasteful number, since it uses less digits than its factorization.

78019136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 78019136 is about 8832.8441625560. The cubic root of 78019136 is about 427.3008061660.

The spelling of 78019136 in words is "seventy-eight million, nineteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 158 208 316 416 632 832 1027 1187 1264 2054 2374 2528 4108 4748 5056 8216 9496 15431 16432 18992 30862 32864 37984 61724 65728 75968 93773 123448 187546 246896 375092 493792 750184 987584 1219049 1500368 2438098 3000736 4876196 6001472 9752392 19504784 39009568 78019136