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2135456520 = 233538514621
BaseRepresentation
bin111111101001000…
…0111101100001000
312111211020102122020
41333102013230020
513333134102040
6551522124440
7103630036521
oct17722075410
95454212566
102135456520
119a64560aa
124b71b0720
13280553652
14163879848
15c771ccd0
hex7f487b08

2135456520 has 64 divisors (see below), whose sum is σ = 6409419840. Its totient is φ = 569184000.

The previous prime is 2135456509. The next prime is 2135456537. The reversal of 2135456520 is 256545312.

It is a Cunningham number, because it is equal to 462112-1.

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, 459810 + ... + 464430.

It is an arithmetic number, because the mean of its divisors is an integer number (100147185).

Almost surely, 22135456520 is an apocalyptic number.

2135456520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135456520 is an abundant number, since it is smaller than the sum of its proper divisors (4273963320).

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

2135456520 is a wasteful number, since it uses less digits than its factorization.

2135456520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8486 (or 8482 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 2135456520 is about 46210.9999891801. Note that the first 4 decimals coincide. The cubic root of 2135456520 is about 1287.7461033303.

The spelling of 2135456520 in words is "two billion, one hundred thirty-five million, four hundred fifty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3851 4621 7702 9242 11553 13863 15404 18484 19255 23105 23106 27726 30808 36968 38510 46210 46212 55452 57765 69315 77020 92420 92424 110904 115530 138630 154040 184840 231060 277260 462120 554520 17795471 35590942 53386413 71181884 88977355 106772826 142363768 177954710 213545652 266932065 355909420 427091304 533864130 711818840 1067728260 2135456520