Search a number
-
+
1147113460 = 225318092287
BaseRepresentation
bin100010001011111…
…1000111111110100
32221221111101211201
41010113320333310
54322130112320
6305454342244
740266206053
oct10427707764
92857441751
101147113460
11539574359
122801ba984
1315386827c
14ac4c439a
156aa9070a
hex445f8ff4

1147113460 has 48 divisors (see below), whose sum is σ = 2490808320. Its totient is φ = 443301120.

The previous prime is 1147113439. The next prime is 1147113469. The reversal of 1147113460 is 643117411.

It is a happy number.

It is a super-2 number, since 2×11471134602 = 2631738580226343200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1147113469) 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, 500437 + ... + 502723.

It is an arithmetic number, because the mean of its divisors is an integer number (51891840).

Almost surely, 21147113460 is an apocalyptic number.

1147113460 is a gapful number since it is divisible by the number (10) 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 1147113460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245404160).

1147113460 is an abundant number, since it is smaller than the sum of its proper divisors (1343694860).

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

1147113460 is a wasteful number, since it uses less digits than its factorization.

1147113460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1147113460 is about 33869.0634650561. The cubic root of 1147113460 is about 1046.8122396593.

The spelling of 1147113460 in words is "one billion, one hundred forty-seven million, one hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 809 1618 2287 3236 4045 4574 8090 9148 11435 16180 22870 25079 45740 50158 70897 100316 125395 141794 250790 283588 354485 501580 708970 1417940 1850183 3700366 7400732 9250915 18501830 37003660 57355673 114711346 229422692 286778365 573556730 1147113460