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2138712590 = 257296011753
BaseRepresentation
bin111111101111010…
…0010101000001110
312112001100212010102
41333132202220032
513340002300330
6552120011102
7103666520450
oct17736425016
95461325112
102138712590
119a827a473
124b8300a92
13281123711
141640862d0
15c7b62945
hex7f7a2a0e

2138712590 has 64 divisors (see below), whose sum is σ = 4561522560. Its totient is φ = 706406400.

The previous prime is 2138712571. The next prime is 2138712593. The reversal of 2138712590 is 952178312.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138712593) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1219154 + ... + 1220906.

It is an arithmetic number, because the mean of its divisors is an integer number (71273790).

Almost surely, 22138712590 is an apocalyptic number.

2138712590 is an abundant number, since it is smaller than the sum of its proper divisors (2422809970).

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

2138712590 is a wasteful number, since it uses less digits than its factorization.

2138712590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397.

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 2138712590 is about 46246.2170344775. The cubic root of 2138712590 is about 1288.4002744813.

The spelling of 2138712590 in words is "two billion, one hundred thirty-eight million, seven hundred twelve thousand, five hundred ninety".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 290 406 601 1015 1202 1753 2030 3005 3506 4207 6010 8414 8765 12271 17429 17530 21035 24542 34858 42070 50837 61355 87145 101674 122003 122710 174290 244006 254185 355859 508370 610015 711718 1053553 1220030 1779295 2107106 3558590 5267765 7374871 10535530 14749742 30553037 36874355 61106074 73748710 152765185 213871259 305530370 427742518 1069356295 2138712590