Search a number
-
+
1314255972 = 223239115227
BaseRepresentation
bin100111001010101…
…1111010001100100
310101121000010021010
41032111133101210
510142422142342
6334225022220
744365664031
oct11625372144
93347003233
101314255972
11614954a67
12308184970
1317c389a73
14c6792388
157a5a929c
hex4e55f464

1314255972 has 48 divisors (see below), whose sum is σ = 3204052992. Its totient is φ = 418498080.

The previous prime is 1314255967. The next prime is 1314255983. The reversal of 1314255972 is 2795524131.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1314255972.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248823 + ... + 254049.

It is an arithmetic number, because the mean of its divisors is an integer number (66751104).

Almost surely, 21314255972 is an apocalyptic number.

1314255972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1314255972 is an abundant number, since it is smaller than the sum of its proper divisors (1889797020).

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

1314255972 is a wasteful number, since it uses less digits than its factorization.

1314255972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6168 (or 6166 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 1314255972 is about 36252.6684810925. The cubic root of 1314255972 is about 1095.3678412227.

The spelling of 1314255972 in words is "one billion, three hundred fourteen million, two hundred fifty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 911 1822 2733 3644 5227 5466 10454 10932 15681 20908 20953 31362 41906 62724 62859 83812 120221 125718 240442 251436 360663 480884 721326 1442652 4761797 9523594 14285391 19047188 28570782 57141564 109521331 219042662 328563993 438085324 657127986 1314255972