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78630420 = 2235111091093
BaseRepresentation
bin1001010111111…
…00111000010100
312110221211122210
410223330320110
5130112133140
611445153420
71643230131
oct453747024
9173854583
1078630420
1140426220
12223bb870
13133a0b9b
14a62b588
156d82d80
hex4afce14

78630420 has 96 divisors (see below), whose sum is σ = 242605440. Its totient is φ = 18869760.

The previous prime is 78630407. The next prime is 78630437. The reversal of 78630420 is 2403687.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71394 + ... + 72486.

It is an arithmetic number, because the mean of its divisors is an integer number (2527140).

Almost surely, 278630420 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 78630420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121302720).

78630420 is an abundant number, since it is smaller than the sum of its proper divisors (163975020).

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

78630420 is a wasteful number, since it uses less digits than its factorization.

78630420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 78630420 is about 8867.3795452772. The cubic root of 78630420 is about 428.4138789147.

The spelling of 78630420 in words is "seventy-eight million, six hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 109 110 132 165 218 220 327 330 436 545 654 660 1090 1093 1199 1308 1635 2180 2186 2398 3270 3279 3597 4372 4796 5465 5995 6540 6558 7194 10930 11990 12023 13116 14388 16395 17985 21860 23980 24046 32790 35970 36069 48092 60115 65580 71940 72138 119137 120230 144276 180345 238274 240460 357411 360690 476548 595685 714822 721380 1191370 1310507 1429644 1787055 2382740 2621014 3574110 3931521 5242028 6552535 7148220 7863042 13105070 15726084 19657605 26210140 39315210 78630420