Search a number
-
+
1364812272 = 243223412081
BaseRepresentation
bin101000101011001…
…0110000111110000
310112010010122110200
41101112112013300
510243342443042
6343232355200
745551466345
oct12126260760
93463118420
101364812272
1164044572a
123210a5b00
131899ab435
14cd3927cc
157ec43c4c
hex515961f0

1364812272 has 60 divisors (see below), whose sum is σ = 3985657104. Its totient is φ = 435156480.

The previous prime is 1364812259. The next prime is 1364812277. The reversal of 1364812272 is 2722184631.

It is a happy number.

1364812272 is a `hidden beast` number, since 1 + 3 + 648 + 1 + 2 + 2 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364812277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202729 + ... + 209352.

Almost surely, 21364812272 is an apocalyptic number.

1364812272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1364812272 is an abundant number, since it is smaller than the sum of its proper divisors (2620844832).

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

1364812272 is a wasteful number, since it uses less digits than its factorization.

1364812272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412118 (or 412109 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1364812272 is about 36943.3657373012. The cubic root of 1364812272 is about 1109.2368945393.

The spelling of 1364812272 in words is "one billion, three hundred sixty-four million, eight hundred twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 412081 824162 1236243 1648324 2472486 3296648 3708729 4944972 6593296 7417458 9477863 9889944 14834916 18955726 19779888 28433589 29669832 37911452 56867178 59339664 75822904 85300767 113734356 151645808 170601534 227468712 341203068 454937424 682406136 1364812272