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2430024420 = 223540999023
BaseRepresentation
bin1001000011010111…
…0011101011100100
320021100112000211110
42100311303223210
514434041240140
61041043505020
7114134603205
oct22065635344
96240460743
102430024420
11103775a34a
12579988170
132c959ba95
14190a375ac
15e3507380
hex90d73ae4

2430024420 has 48 divisors (see below), whose sum is σ = 6820773120. Its totient is φ = 646415616.

The previous prime is 2430024413. The next prime is 2430024481. The reversal of 2430024420 is 244200342.

2430024420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 24972 + ... + 74051.

It is an arithmetic number, because the mean of its divisors is an integer number (142099440).

Almost surely, 22430024420 is an apocalyptic number.

2430024420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430024420 is an abundant number, since it is smaller than the sum of its proper divisors (4390748700).

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

2430024420 is a wasteful number, since it uses less digits than its factorization.

2430024420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99444 (or 99442 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2430024420 is about 49295.2778671548. The cubic root of 2430024420 is about 1344.4259274872.

Adding to 2430024420 its reverse (244200342), we get a palindrome (2674224762).

The spelling of 2430024420 in words is "two billion, four hundred thirty million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 409 818 1227 1636 2045 2454 4090 4908 6135 8180 12270 24540 99023 198046 297069 396092 495115 594138 990230 1188276 1485345 1980460 2970690 5941380 40500407 81000814 121501221 162001628 202502035 243002442 405004070 486004884 607506105 810008140 1215012210 2430024420