Search a number
-
+
2421200520 = 2332517395621
BaseRepresentation
bin1001000001010000…
…1001011010001000
320020201220201201100
42100110021122020
514424311404040
61040130421400
7113666602434
oct22024113210
96221821640
102421200520
111032782872
12576a31860
132c77cc63b
1418d7bb9c4
15e2862b30
hex90509688

2421200520 has 96 divisors (see below), whose sum is σ = 8331799320. Its totient is φ = 607672320.

The previous prime is 2421200497. The next prime is 2421200531. The reversal of 2421200520 is 250021242.

2421200520 is a `hidden beast` number, since 24 + 2 + 120 + 0 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1970827236 + 450373284 = 44394^2 + 21222^2 .

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 = 2421200493 and 2421200502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191691 + ... + 203930.

Almost surely, 22421200520 is an apocalyptic number.

2421200520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2421200520 is an abundant number, since it is smaller than the sum of its proper divisors (5910598800).

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

2421200520 is a wasteful number, since it uses less digits than its factorization.

2421200520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395655 (or 395648 counting only the distinct ones).

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

The square root of 2421200520 is about 49205.6960117424. The cubic root of 2421200520 is about 1342.7966615499.

Adding to 2421200520 its reverse (250021242), we get a palindrome (2671221762).

The spelling of 2421200520 in words is "two billion, four hundred twenty-one million, two hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 395621 791242 1186863 1582484 1978105 2373726 3164968 3560589 3956210 4747452 5934315 6725557 7121178 7912420 9494904 11868630 13451114 14242356 15824840 17802945 20176671 23737260 26902228 28484712 33627785 35605890 40353342 47474520 53804456 60530013 67255570 71211780 80706684 100883355 121060026 134511140 142423560 161413368 201766710 242120052 269022280 302650065 403533420 484240104 605300130 807066840 1210600260 2421200520