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2420628672 = 263711163733
BaseRepresentation
bin1001000001000111…
…1101110011000000
320020200211200021210
42100101331303000
514424140104142
61040110250120
7113662001310
oct22021756300
96220750253
102420628672
111032422170
125767b6940
132c765c277
1418d6ad440
15e279d49c
hex9047dcc0

2420628672 has 112 divisors (see below), whose sum is σ = 7984979712. Its totient is φ = 628730880.

The previous prime is 2420628599. The next prime is 2420628673. The reversal of 2420628672 is 2768260242.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 2420628672.

It is not an unprimeable number, because it can be changed into a prime (2420628673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67083 + ... + 96650.

Almost surely, 22420628672 is an apocalyptic number.

2420628672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2420628672 is an abundant number, since it is smaller than the sum of its proper divisors (5564351040).

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

2420628672 is a wasteful number, since it uses less digits than its factorization.

2420628672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163766 (or 163756 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 2420628672 is about 49199.8848779141. The cubic root of 2420628672 is about 1342.6909376827.

The spelling of 2420628672 in words is "two billion, four hundred twenty million, six hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 163733 327466 491199 654932 982398 1146131 1309864 1801063 1964796 2292262 2619728 3438393 3602126 3929592 4584524 5239456 5403189 6876786 7204252 7859184 9169048 10478912 10806378 12607441 13753572 14408504 15718368 18338096 21612756 25214882 27507144 28817008 31436736 36676192 37822323 43225512 50429764 55014288 57634016 73352384 75644646 86451024 100859528 110028576 115268032 151289292 172902048 201719056 220057152 302578584 345804096 403438112 605157168 806876224 1210314336 2420628672