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78240136 = 23134159311
BaseRepresentation
bin1001010100111…
…01100110001000
312110020000021211
410222131212020
5130012141021
611432542504
71640013232
oct452354610
9173200254
1078240136
1140189a77
1222251a34
1313295350
14a569252
156d073e1
hex4a9d988

78240136 has 64 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 34521600.

The previous prime is 78240109. The next prime is 78240179. The reversal of 78240136 is 63104287.

It is a super-2 number, since 2×782401362 = 12243037762596992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78240098 and 78240107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251421 + ... + 251731.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 278240136 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 78240136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

78240136 is an abundant number, since it is smaller than the sum of its proper divisors (86870264).

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

78240136 is a wasteful number, since it uses less digits than its factorization.

78240136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 78240136 is about 8845.3454426608. The cubic root of 78240136 is about 427.7038886992.

The spelling of 78240136 in words is "seventy-eight million, two hundred forty thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 41 52 59 82 104 118 164 236 311 328 472 533 622 767 1066 1244 1534 2132 2419 2488 3068 4043 4264 4838 6136 8086 9676 12751 16172 18349 19352 25502 31447 32344 36698 51004 62894 73396 102008 125788 146792 165763 238537 251576 331526 477074 663052 752309 954148 1326104 1504618 1908296 3009236 6018472 9780017 19560034 39120068 78240136