Search a number
-
+
1360244628 = 2232431794909
BaseRepresentation
bin101000100010011…
…1010111110010100
310111210112120211200
41101010322332110
510241210312003
6342550432500
745464613531
oct12104727624
93453476750
101360244628
11638905a16
1231b662730
13188a6c3a2
14cc923d88
157e6406a3
hex5113af94

1360244628 has 72 divisors (see below), whose sum is σ = 3538735200. Its totient is φ = 440306496.

The previous prime is 1360244621. The next prime is 1360244651. The reversal of 1360244628 is 8264420631.

1360244628 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 24 + 4 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1360244592 and 1360244601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1360244621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274638 + ... + 279546.

It is an arithmetic number, because the mean of its divisors is an integer number (49149100).

Almost surely, 21360244628 is an apocalyptic number.

1360244628 is a gapful number since it is divisible by the number (18) 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 1360244628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769367600).

1360244628 is an abundant number, since it is smaller than the sum of its proper divisors (2178490572).

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

1360244628 is a wasteful number, since it uses less digits than its factorization.

1360244628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141 (or 5136 counting only the distinct ones).

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

The square root of 1360244628 is about 36881.4943840404. The cubic root of 1360244628 is about 1107.9980765605.

The spelling of 1360244628 in words is "one billion, three hundred sixty million, two hundred forty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 179 258 358 387 516 537 716 774 1074 1548 1611 2148 3222 4909 6444 7697 9818 14727 15394 19636 23091 29454 30788 44181 46182 58908 69273 88362 92364 138546 176724 211087 277092 422174 633261 844348 878711 1266522 1757422 1899783 2533044 2636133 3514844 3799566 5272266 7599132 7908399 10544532 15816798 31633596 37784573 75569146 113353719 151138292 226707438 340061157 453414876 680122314 1360244628