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2142020520 = 233255950057
BaseRepresentation
bin111111110101100…
…1010001110101000
312112021120220202100
41333223022032220
513341324124040
6552314533400
7104036605533
oct17753121650
95467526670
102142020520
119aa1297a2
124b9437260
13281a11283
141646a7a1a
15c80b7b30
hex7faca3a8

2142020520 has 48 divisors (see below), whose sum is σ = 6961567860. Its totient is φ = 571205376.

The previous prime is 2142020483. The next prime is 2142020527. The reversal of 2142020520 is 250202412.

2142020520 is a `hidden beast` number, since 2 + 142 + 0 + 2 + 0 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2141653284 + 367236 = 46278^2 + 606^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2142020493 and 2142020502.

It is not an unprimeable number, because it can be changed into a prime (2142020527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2974669 + ... + 2975388.

Almost surely, 22142020520 is an apocalyptic number.

2142020520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142020520 is an abundant number, since it is smaller than the sum of its proper divisors (4819547340).

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

2142020520 is a wasteful number, since it uses less digits than its factorization.

2142020520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5950074 (or 5950067 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2142020520 is about 46281.9675467671. The cubic root of 2142020520 is about 1289.0641851791.

Adding to 2142020520 its reverse (250202412), we get a palindrome (2392222932).

The spelling of 2142020520 in words is "two billion, one hundred forty-two million, twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5950057 11900114 17850171 23800228 29750285 35700342 47600456 53550513 59500570 71400684 89250855 107101026 119001140 142801368 178501710 214202052 238002280 267752565 357003420 428404104 535505130 714006840 1071010260 2142020520