Search a number
-
+
136248264 = 23332921751
BaseRepresentation
bin10000001111011…
…11101111001000
3100111101010111000
420013233233020
5234334421024
621304135000
73243043155
oct1007575710
9314333430
10136248264
116a9aa379
1239767460
13222c5799
141414922c
15be64cc9
hex81efbc8

136248264 has 64 divisors (see below), whose sum is σ = 391536000. Its totient is φ = 43848000.

The previous prime is 136248263. The next prime is 136248271. The reversal of 136248264 is 462842631.

136248264 is a `hidden beast` number, since 1 + 3 + 624 + 8 + 26 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (136248263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4612 + ... + 17139.

It is an arithmetic number, because the mean of its divisors is an integer number (6117750).

Almost surely, 2136248264 is an apocalyptic number.

It is an amenable number.

136248264 is an abundant number, since it is smaller than the sum of its proper divisors (255287736).

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

136248264 is a wasteful number, since it uses less digits than its factorization.

136248264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21795 (or 21785 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 136248264 is about 11672.5431676220. The cubic root of 136248264 is about 514.5690478437.

The spelling of 136248264 in words is "one hundred thirty-six million, two hundred forty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 21751 43502 65253 87004 130506 174008 195759 261012 391518 522024 587277 630779 783036 1174554 1261558 1566072 1892337 2349108 2523116 3784674 4698216 5046232 5677011 7569348 11354022 15138696 17031033 22708044 34062066 45416088 68124132 136248264