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20130415460 = 2252773899341
BaseRepresentation
bin10010101111110111…
…011100001101100100
31220221220221001121222
4102233313130031210
5312211341243320
613125304355512
71311564464621
oct225767341544
956856831558
1020130415460
1185a01050a1
123a99775b98
131b8a70a54c
14d8d753348
157cc42c825
hex4afddc364

20130415460 has 48 divisors (see below), whose sum is σ = 42540104880. Its totient is φ = 8001615360.

The previous prime is 20130415451. The next prime is 20130415517. The reversal of 20130415460 is 6451403102.

It can be written as a sum of positive squares in 8 ways, for example, as 4491412324 + 15639003136 = 67018^2 + 125056^2 .

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, 2150390 + ... + 2159730.

It is an arithmetic number, because the mean of its divisors is an integer number (886252185).

Almost surely, 220130415460 is an apocalyptic number.

20130415460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130415460 is an abundant number, since it is smaller than the sum of its proper divisors (22409689420).

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

20130415460 is a wasteful number, since it uses less digits than its factorization.

20130415460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016 (or 10014 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 20130415460 its reverse (6451403102), we get a palindrome (26581818562).

The spelling of 20130415460 in words is "twenty billion, one hundred thirty million, four hundred fifteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 277 389 554 778 1108 1385 1556 1945 2770 3890 5540 7780 9341 18682 37364 46705 93410 107753 186820 215506 431012 538765 1077530 2155060 2587457 3633649 5174914 7267298 10349828 12937285 14534596 18168245 25874570 36336490 51749140 72672980 1006520773 2013041546 4026083092 5032603865 10065207730 20130415460