Search a number
-
+
78130962 = 23271347699
BaseRepresentation
bin1001010100000…
…10111100010010
312110000110112100
410222002330102
5130000142322
611430341230
71636050030
oct452027422
9173013470
1078130962
1140114a48
12221ba816
1313257750
14a53b550
156cd4dac
hex4a82f12

78130962 has 48 divisors (see below), whose sum is σ = 208353600. Its totient is φ = 20605536.

The previous prime is 78130961. The next prime is 78130973. The reversal of 78130962 is 26903187.

It is a super-2 number, since 2×781309622 = 12208894446090888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78130961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22212 + ... + 25487.

It is an arithmetic number, because the mean of its divisors is an integer number (4340700).

Almost surely, 278130962 is an apocalyptic number.

78130962 is an abundant number, since it is smaller than the sum of its proper divisors (130222638).

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

78130962 is a wasteful number, since it uses less digits than its factorization.

78130962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47727 (or 47724 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 78130962 is about 8839.1720200480. The cubic root of 78130962 is about 427.5048609276.

The spelling of 78130962 in words is "seventy-eight million, one hundred thirty thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 47699 95398 143097 286194 333893 429291 620087 667786 858582 1001679 1240174 1860261 2003358 3005037 3720522 4340609 5580783 6010074 8681218 11161566 13021827 26043654 39065481 78130962