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2139266560 = 2955315767
BaseRepresentation
bin111111110000010…
…1001111000000000
312112002102000000211
41333200221320000
513340123012220
6552135523504
7104004315514
oct17740517000
95462360024
102139266560
119a86186a2
124b8529594
13281288902
1416418c144
15c7c21b5a
hex7f829e00

2139266560 has 80 divisors (see below), whose sum is σ = 5226335136. Its totient is φ = 839507968.

The previous prime is 2139266531. The next prime is 2139266561. The reversal of 2139266560 is 656629312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21392665602 = 9152922829468467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139266561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127797 + ... + 143563.

Almost surely, 22139266560 is an apocalyptic number.

2139266560 is a gapful number since it is divisible by the number (20) 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 2139266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613167568).

2139266560 is an abundant number, since it is smaller than the sum of its proper divisors (3087068576).

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

2139266560 is an equidigital number, since it uses as much as digits as its factorization.

2139266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15843 (or 15827 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 2139266560 is about 46252.2060014439. The cubic root of 2139266560 is about 1288.5115054913.

The spelling of 2139266560 in words is "two billion, one hundred thirty-nine million, two hundred sixty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 512 530 640 848 1060 1280 1696 2120 2560 3392 4240 6784 8480 13568 15767 16960 27136 31534 33920 63068 67840 78835 126136 135680 157670 252272 315340 504544 630680 835651 1009088 1261360 1671302 2018176 2522720 3342604 4036352 4178255 5045440 6685208 8072704 8356510 10090880 13370416 16713020 20181760 26740832 33426040 40363520 53481664 66852080 106963328 133704160 213926656 267408320 427853312 534816640 1069633280 2139266560