Search a number
-
+
2430020040 = 233572892881
BaseRepresentation
bin1001000011010111…
…0010100111001000
320021100111210211020
42100311302213020
514434041120130
61041043432440
7114134554350
oct22065624710
96240453736
102430020040
111037757028
12579985720
132c9599aa6
14190a35b60
15e3505e10
hex90d729c8

2430020040 has 64 divisors (see below), whose sum is σ = 8331500160. Its totient is φ = 555432960.

The previous prime is 2430019951. The next prime is 2430020053. The reversal of 2430020040 is 400200342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1445601 + ... + 1447280.

It is an arithmetic number, because the mean of its divisors is an integer number (130179690).

Almost surely, 22430020040 is an apocalyptic number.

2430020040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430020040 is an abundant number, since it is smaller than the sum of its proper divisors (5901480120).

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

2430020040 is a wasteful number, since it uses less digits than its factorization.

2430020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892902 (or 2892898 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2430020040 is about 49295.2334409728. The cubic root of 2430020040 is about 1344.4251197328.

Adding to 2430020040 its reverse (400200342), we get a palindrome (2830220382).

The spelling of 2430020040 in words is "two billion, four hundred thirty million, twenty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2892881 5785762 8678643 11571524 14464405 17357286 20250167 23143048 28928810 34714572 40500334 43393215 57857620 60750501 69429144 81000668 86786430 101250835 115715240 121501002 162001336 173572860 202501670 243002004 303752505 347145720 405003340 486004008 607505010 810006680 1215010020 2430020040