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5007105460 = 225797736607
BaseRepresentation
bin1001010100111001…
…00101110110110100
3110220221202022102101
410222130211312310
540223304333320
62144503351444
7235036460050
oct45234456664
913827668371
105007105460
11213a420495
12b78a52584
1361a478ac6
14356dd0c60
151e48abc0a
hex12a725db4

5007105460 has 48 divisors (see below), whose sum is σ = 12029681664. Its totient is φ = 1714917888.

The previous prime is 5007105457. The next prime is 5007105487. The reversal of 5007105460 is 645017005.

It is a super-2 number, since 2×50071054602 = 50142210175123623200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118477 + ... + 155083.

It is an arithmetic number, because the mean of its divisors is an integer number (250618368).

Almost surely, 25007105460 is an apocalyptic number.

It is an amenable number.

5007105460 is an abundant number, since it is smaller than the sum of its proper divisors (7022576204).

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

5007105460 is a wasteful number, since it uses less digits than its factorization.

5007105460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37600 (or 37598 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 5007105460 is about 70760.9034707726. The cubic root of 5007105460 is about 1710.7855743253.

The spelling of 5007105460 in words is "five billion, seven million, one hundred five thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 977 1954 3908 4885 6839 9770 13678 19540 27356 34195 36607 68390 73214 136780 146428 183035 256249 366070 512498 732140 1024996 1281245 2562490 5124980 35765039 71530078 143060156 178825195 250355273 357650390 500710546 715300780 1001421092 1251776365 2503552730 5007105460