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20130002360 = 2351327141941
BaseRepresentation
bin10010101111110101…
…110111010110111000
31220221220011001221222
4102233311313112320
5312211240033420
613125251451212
71311561124346
oct225765672670
956856131858
1020130002360
11859a952796
123a995b6b08
131b8a5c4500
14d8d686996
157cc39a225
hex4afd775b8

20130002360 has 96 divisors (see below), whose sum is σ = 49736501280. Its totient is φ = 7327756800.

The previous prime is 20130002359. The next prime is 20130002369. The reversal of 20130002360 is 6320003102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130002369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458990 + ... + 500930.

It is an arithmetic number, because the mean of its divisors is an integer number (518088555).

Almost surely, 220130002360 is an apocalyptic number.

20130002360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130002360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24868250640).

20130002360 is an abundant number, since it is smaller than the sum of its proper divisors (29606498920).

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

20130002360 is a wasteful number, since it uses less digits than its factorization.

20130002360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42049 (or 42032 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 20130002360 its reverse (6320003102), we get a palindrome (26450005462).

The spelling of 20130002360 in words is "twenty billion, one hundred thirty million, two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 169 260 284 338 355 520 568 676 710 845 923 1352 1420 1690 1846 2840 3380 3692 4615 6760 7384 9230 11999 18460 23998 36920 41941 47996 59995 83882 95992 119990 167764 209705 239980 335528 419410 479960 545233 838820 1090466 1677640 2180932 2726165 2977811 4361864 5452330 5955622 7088029 10904660 11911244 14176058 14889055 21809320 23822488 28352116 29778110 35440145 38711543 56704232 59556220 70880290 77423086 119112440 141760580 154846172 193557715 283521160 309692344 387115430 503250059 774230860 1006500118 1548461720 2013000236 2516250295 4026000472 5032500590 10065001180 20130002360