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2420320504 = 23738310627
BaseRepresentation
bin1001000001000011…
…0010100011111000
320020200021000120011
42100100302203320
514424100224004
61040055511304
7113656246000
oct22020624370
96220230504
102420320504
111032231688
12576688534
132c7581c14
1418d62d000
15e273c004
hex904328f8

2420320504 has 64 divisors (see below), whose sum is σ = 5356512000. Its totient is φ = 1024686432.

The previous prime is 2420320493. The next prime is 2420320519. The reversal of 2420320504 is 4050230242.

It is a congruent number.

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, 222439 + ... + 233065.

It is an arithmetic number, because the mean of its divisors is an integer number (83695500).

Almost surely, 22420320504 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 2420320504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678256000).

2420320504 is an abundant number, since it is smaller than the sum of its proper divisors (2936191496).

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

2420320504 is a wasteful number, since it uses less digits than its factorization.

2420320504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10737 (or 10719 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2420320504 is about 49196.7529822853. The cubic root of 2420320504 is about 1342.6339563503.

Adding to 2420320504 its reverse (4050230242), we get a palindrome (6470550746).

The spelling of 2420320504 in words is "two billion, four hundred twenty million, three hundred twenty thousand, five hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 83 98 166 196 332 343 392 581 664 686 1162 1372 2324 2744 4067 4648 8134 10627 16268 21254 28469 32536 42508 56938 74389 85016 113876 148778 227752 297556 520723 595112 882041 1041446 1764082 2082892 3528164 3645061 4165784 6174287 7056328 7290122 12348574 14580244 24697148 29160488 43220009 49394296 86440018 172880036 302540063 345760072 605080126 1210160252 2420320504