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2375122640 = 2451125110753
BaseRepresentation
bin1000110110010001…
…0111111011010000
320010112012201202012
42031210113323100
514331012411030
61031403042052
7112600131542
oct21544277320
96115181665
102375122640
111009770880
12563510328
132bb0b8517
14187625692
15dd7b0095
hex8d917ed0

2375122640 has 80 divisors (see below), whose sum is σ = 6048737856. Its totient is φ = 860160000.

The previous prime is 2375122621. The next prime is 2375122643. The reversal of 2375122640 is 462215732.

2375122640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2375122597 and 2375122606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2375122643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215504 + ... + 226256.

Almost surely, 22375122640 is an apocalyptic number.

2375122640 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 2375122640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024368928).

2375122640 is an abundant number, since it is smaller than the sum of its proper divisors (3673615216).

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

2375122640 is a wasteful number, since it uses less digits than its factorization.

2375122640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11028 (or 11022 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 2375122640 is about 48735.2299676528. The cubic root of 2375122640 is about 1334.2237890729.

The spelling of 2375122640 in words is "two billion, three hundred seventy-five million, one hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 251 440 502 880 1004 1255 2008 2510 2761 4016 5020 5522 10040 10753 11044 13805 20080 21506 22088 27610 43012 44176 53765 55220 86024 107530 110440 118283 172048 215060 220880 236566 430120 473132 591415 860240 946264 1182830 1892528 2365660 2699003 4731320 5398006 9462640 10796012 13495015 21592024 26990030 29689033 43184048 53980060 59378066 107960120 118756132 148445165 215920240 237512264 296890330 475024528 593780660 1187561320 2375122640