Search a number
-
+
78730632 = 23329711273
BaseRepresentation
bin1001011000101…
…01010110001000
312111010221010100
410230111112020
5130123340012
611451245400
71644125241
oct454252610
9174127110
1078730632
1140494542
1222449860
1313407696
14a655cc8
156da28dc
hex4b15588

78730632 has 48 divisors (see below), whose sum is σ = 215446140. Its totient is φ = 25970688.

The previous prime is 78730609. The next prime is 78730657. The reversal of 78730632 is 23603787.

It can be written as a sum of positive squares in 2 ways, for example, as 76842756 + 1887876 = 8766^2 + 1374^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 1348 + ... + 12620.

Almost surely, 278730632 is an apocalyptic number.

78730632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78730632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107723070).

78730632 is an abundant number, since it is smaller than the sum of its proper divisors (136715508).

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

78730632 is a wasteful number, since it uses less digits than its factorization.

78730632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11382 (or 11375 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 78730632 is about 8873.0283443704. The cubic root of 78730632 is about 428.5958016615.

The spelling of 78730632 in words is "seventy-eight million, seven hundred thirty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 11273 22546 33819 45092 67638 90184 101457 135276 202914 270552 405828 811656 1093481 2186962 3280443 4373924 6560886 8747848 9841329 13121772 19682658 26243544 39365316 78730632