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2131742420 = 225372880733
BaseRepresentation
bin111111100001111…
…1100111011010100
312111120020201211222
41333003330323110
513331211224140
6551310345512
7103553340323
oct17703747324
95446221758
102131742420
119a43496a5
124b5abb298
1327c852c62
141631900ba
15c72375b5
hex7f0fced4

2131742420 has 24 divisors (see below), whose sum is σ = 4597651464. Its totient is φ = 829650816.

The previous prime is 2131742407. The next prime is 2131742443. The reversal of 2131742420 is 242471312.

It can be written as a sum of positive squares in 4 ways, for example, as 940526224 + 1191216196 = 30668^2 + 34514^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2131742420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1439627 + ... + 1441106.

It is an arithmetic number, because the mean of its divisors is an integer number (191568811).

Almost surely, 22131742420 is an apocalyptic number.

2131742420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131742420 is an abundant number, since it is smaller than the sum of its proper divisors (2465909044).

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

2131742420 is a wasteful number, since it uses less digits than its factorization.

2131742420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880779 (or 2880777 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 2131742420 is about 46170.7961811360. The cubic root of 2131742420 is about 1286.9990978252. Note that the first 3 decimals are identical.

The spelling of 2131742420 in words is "two billion, one hundred thirty-one million, seven hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 2880733 5761466 11522932 14403665 28807330 57614660 106587121 213174242 426348484 532935605 1065871210 2131742420