Search a number
-
+
2665106140 = 2252327121379
BaseRepresentation
bin1001111011011010…
…0100101011011100
320212201212102022211
42132312210223130
520424231344030
61120242250204
7123021012514
oct23666445334
96781772284
102665106140
111148423764
12624656964
133361ba0a8
141b3d4c844
15108e9112a
hex9eda4adc

2665106140 has 48 divisors (see below), whose sum is σ = 5861882880. Its totient is φ = 1015882560.

The previous prime is 2665106131. The next prime is 2665106173. The reversal of 2665106140 is 416015662.

It is a congruent number.

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, 113971 + ... + 135349.

It is an arithmetic number, because the mean of its divisors is an integer number (122122560).

Almost surely, 22665106140 is an apocalyptic number.

2665106140 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 2665106140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930941440).

2665106140 is an abundant number, since it is smaller than the sum of its proper divisors (3196776740).

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

2665106140 is a wasteful number, since it uses less digits than its factorization.

2665106140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21682 (or 21680 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 2665106140 is about 51624.6660037622. Note that the first 3 decimals coincide. The cubic root of 2665106140 is about 1386.4519937288.

The spelling of 2665106140 in words is "two billion, six hundred sixty-five million, one hundred six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 271 460 542 1084 1355 2710 5420 6233 12466 21379 24932 31165 42758 62330 85516 106895 124660 213790 427580 491717 983434 1966868 2458585 4917170 5793709 9834340 11587418 23174836 28968545 57937090 115874180 133255307 266510614 533021228 666276535 1332553070 2665106140