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78535340 = 22513232571
BaseRepresentation
bin1001010111001…
…01101010101100
312110210000020022
410223211222230
5130101112330
611443141312
71642353002
oct453455254
9173700208
1078535340
1140370844
1222374838
1313369820
14a604a72
156d64ae5
hex4ae5aac

78535340 has 72 divisors (see below), whose sum is σ = 185993808. Its totient is φ = 27688320.

The previous prime is 78535309. The next prime is 78535343. The reversal of 78535340 is 4353587.

It is a self number, because there is not a number n which added to its sum of digits gives 78535340.

It is not an unprimeable number, because it can be changed into a prime (78535343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137255 + ... + 137825.

Almost surely, 278535340 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 78535340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92996904).

78535340 is an abundant number, since it is smaller than the sum of its proper divisors (107458468).

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

78535340 is a wasteful number, since it uses less digits than its factorization.

78535340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 78535340 is about 8862.0167005033. The cubic root of 78535340 is about 428.2411297378.

The spelling of 78535340 in words is "seventy-eight million, five hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 529 571 598 1058 1142 1196 1495 2116 2284 2645 2855 2990 5290 5710 5980 6877 7423 10580 11420 13133 13754 14846 26266 27508 29692 34385 37115 52532 65665 68770 74230 131330 137540 148460 170729 262660 302059 341458 604118 682916 853645 1208236 1510295 1707290 3020590 3414580 3926767 6041180 7853534 15707068 19633835 39267670 78535340