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2420510130 = 23251910713229
BaseRepresentation
bin1001000001000110…
…0000110110110010
320020200121122200100
42100101200312302
514424122311010
61040103533230
7113660665563
oct22021406662
96220548610
102420510130
1110323510a5
1257675a216
132c761a31c
1418d67c16a
15e27782c0
hex90460db2

2420510130 has 96 divisors (see below), whose sum is σ = 6686971200. Its totient is φ = 605736576.

The previous prime is 2420510107. The next prime is 2420510171. The reversal of 2420510130 is 310150242.

2420510130 is a `hidden beast` number, since 2 + 4 + 20 + 510 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176356 + ... + 189584.

It is an arithmetic number, because the mean of its divisors is an integer number (69655950).

Almost surely, 22420510130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420510130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343485600).

2420510130 is an abundant number, since it is smaller than the sum of its proper divisors (4266461070).

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

2420510130 is a wasteful number, since it uses less digits than its factorization.

2420510130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13368 (or 13365 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2420510130 is about 49198.6801652239. The cubic root of 2420510130 is about 1342.6690194280.

Adding to 2420510130 its reverse (310150242), we get a palindrome (2730660372).

The spelling of 2420510130 in words is "two billion, four hundred twenty million, five hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 107 114 171 190 214 285 321 342 535 570 642 855 963 1070 1605 1710 1926 2033 3210 4066 4815 6099 9630 10165 12198 13229 18297 20330 26458 30495 36594 39687 60990 66145 79374 91485 119061 132290 182970 198435 238122 251351 396870 502702 595305 754053 1190610 1256755 1415503 1508106 2262159 2513510 2831006 3770265 4246509 4524318 7077515 7540530 8493018 11310795 12739527 14155030 21232545 22621590 25479054 26894557 42465090 53789114 63697635 80683671 127395270 134472785 161367342 242051013 268945570 403418355 484102026 806836710 1210255065 2420510130