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2142152240 = 24591929137
BaseRepresentation
bin111111110101110…
…1010011000110000
312112021211121102212
41333223222120300
513341342332430
6552321431252
7104040664544
oct17753523060
95467747385
102142152240
119aa209758
124b949b528
13281a59207
141646dda24
15c80e1b95
hex7faea630

2142152240 has 40 divisors (see below), whose sum is σ = 4986094560. Its totient is φ = 855899136.

The previous prime is 2142152239. The next prime is 2142152261. The reversal of 2142152240 is 422512412.

It is a tau number, because it is divible by the number of its divisors (40).

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, 58952 + ... + 88088.

It is an arithmetic number, because the mean of its divisors is an integer number (124652364).

Almost surely, 22142152240 is an apocalyptic number.

2142152240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142152240 is an abundant number, since it is smaller than the sum of its proper divisors (2843942320).

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

2142152240 is a wasteful number, since it uses less digits than its factorization.

2142152240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30069 (or 30063 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 2142152240 is about 46283.3905413162. The cubic root of 2142152240 is about 1289.0906075923.

Adding to 2142152240 its reverse (422512412), we get a palindrome (2564664652).

The spelling of 2142152240 in words is "two billion, one hundred forty-two million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 919 1838 3676 4595 7352 9190 14704 18380 29137 36760 58274 73520 116548 145685 233096 291370 466192 582740 1165480 2330960 26776903 53553806 107107612 133884515 214215224 267769030 428430448 535538060 1071076120 2142152240