Search a number
-
+
2115256104 = 2332132259889
BaseRepresentation
bin111111000010100…
…0011111100101000
312110102020010212200
41332011003330220
513313001143404
6545521140200
7103263244263
oct17605037450
95412203780
102115256104
11996009245
124b048a660
132792ccc40
14160cdbcda
15c5a7c839
hex7e143f28

2115256104 has 48 divisors (see below), whose sum is σ = 6169499700. Its totient is φ = 650847744.

The previous prime is 2115256081. The next prime is 2115256109. The reversal of 2115256104 is 4016525112.

2115256104 is a `hidden beast` number, since 21 + 1 + 5 + 25 + 610 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1776622500 + 338633604 = 42150^2 + 18402^2 .

It is not an unprimeable number, because it can be changed into a prime (2115256109) 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, 1129009 + ... + 1130880.

Almost surely, 22115256104 is an apocalyptic number.

2115256104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2115256104 is an abundant number, since it is smaller than the sum of its proper divisors (4054243596).

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

2115256104 is a wasteful number, since it uses less digits than its factorization.

2115256104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259914 (or 2259907 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2115256104 is about 45991.9134631296. The cubic root of 2115256104 is about 1283.6727410068.

The spelling of 2115256104 in words is "two billion, one hundred fifteen million, two hundred fifty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2259889 4519778 6779667 9039556 13559334 18079112 20339001 27118668 29378557 40678002 54237336 58757114 81356004 88135671 117514228 162712008 176271342 235028456 264407013 352542684 528814026 705085368 1057628052 2115256104