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2400052530 = 235235365629
BaseRepresentation
bin1000111100001101…
…1110010100110010
320012021010022010110
42033003132110302
514403403140110
61034053242150
7113322052461
oct21703362462
96167108113
102400052530
111021848a97
1256b933356
132c3306835
1418aa749d8
15e0a86a20
hex8f0de532

2400052530 has 64 divisors (see below), whose sum is σ = 6124066560. Its totient is φ = 600627456.

The previous prime is 2400052489. The next prime is 2400052549. The reversal of 2400052530 is 352500042.

2400052530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2400052497 and 2400052506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3756 + ... + 69384.

It is an arithmetic number, because the mean of its divisors is an integer number (95688540).

Almost surely, 22400052530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400052530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062033280).

2400052530 is an abundant number, since it is smaller than the sum of its proper divisors (3724014030).

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

2400052530 is a wasteful number, since it uses less digits than its factorization.

2400052530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65715.

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2400052530 is about 48990.3309847974. The cubic root of 2400052530 is about 1338.8756682355.

Adding to 2400052530 its reverse (352500042), we get a palindrome (2752552572).

The spelling of 2400052530 in words is "two billion, four hundred million, fifty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 53 69 106 115 138 159 230 265 318 345 530 690 795 1219 1590 2438 3657 6095 7314 12190 18285 36570 65629 131258 196887 328145 393774 656290 984435 1509467 1968870 3018934 3478337 4528401 6956674 7547335 9056802 10435011 15094670 17391685 20870022 22642005 34783370 45284010 52175055 80001751 104350110 160003502 240005253 400008755 480010506 800017510 1200026265 2400052530