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2420651632 = 24743211689
BaseRepresentation
bin1001000001001000…
…0011011001110000
320020200212211210011
42100102003121300
514424141323012
61040110544304
7113662125250
oct22022033160
96220784704
102420651632
111032438443
12576808094
132c7669859
1418d6b7960
15e27a51a7
hex90483670

2420651632 has 60 divisors (see below), whose sum is σ = 5488034160. Its totient is φ = 1013209344.

The previous prime is 2420651579. The next prime is 2420651633. The reversal of 2420651632 is 2361560242.

It is a junction number, because it is equal to n+sod(n) for n = 2420651594 and 2420651603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420651633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201244 + ... + 212932.

It is an arithmetic number, because the mean of its divisors is an integer number (91467236).

Almost surely, 22420651632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420651632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744017080).

2420651632 is an abundant number, since it is smaller than the sum of its proper divisors (3067382528).

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

2420651632 is a wasteful number, since it uses less digits than its factorization.

2420651632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11790 (or 11741 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 2420651632 is about 49200.1182112401. The cubic root of 2420651632 is about 1342.6951828728.

The spelling of 2420651632 in words is "two billion, four hundred twenty million, six hundred fifty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1204 1849 2408 3698 4816 7396 11689 12943 14792 23378 25886 29584 46756 51772 81823 93512 103544 163646 187024 207088 327292 502627 654584 1005254 1309168 2010508 3518389 4021016 7036778 8042032 14073556 21612961 28147112 43225922 56294224 86451844 151290727 172903688 302581454 345807376 605162908 1210325816 2420651632