Search a number
-
+
1136100264 = 233137946093
BaseRepresentation
bin100001110110111…
…1000001110101000
32221011202212120120
41003231320032220
54311320202024
6304422323240
740103456445
oct10355701650
92834685516
101136100264
11533331a42
12278589520
131514b04a0
14aac589cc
1569b17479
hex43b783a8

1136100264 has 64 divisors (see below), whose sum is σ = 3097516800. Its totient is φ = 345136896.

The previous prime is 1136100263. The next prime is 1136100271. The reversal of 1136100264 is 4620016311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1136100263) 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, 1602 + ... + 47694.

It is an arithmetic number, because the mean of its divisors is an integer number (48398700).

Almost surely, 21136100264 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 1136100264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548758400).

1136100264 is an abundant number, since it is smaller than the sum of its proper divisors (1961416536).

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

1136100264 is a wasteful number, since it uses less digits than its factorization.

1136100264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46194 (or 46190 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1136100264 is about 33706.0864533396. The cubic root of 1136100264 is about 1043.4513859848.

Adding to 1136100264 its reverse (4620016311), we get a palindrome (5756116575).

The spelling of 1136100264 in words is "one billion, one hundred thirty-six million, one hundred thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 237 312 316 474 632 948 1027 1896 2054 3081 4108 6162 8216 12324 24648 46093 92186 138279 184372 276558 368744 553116 599209 1106232 1198418 1797627 2396836 3595254 3641347 4793672 7190508 7282694 10924041 14381016 14565388 21848082 29130776 43696164 47337511 87392328 94675022 142012533 189350044 284025066 378700088 568050132 1136100264