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2155664560 = 24573849401
BaseRepresentation
bin1000000001111100…
…1101010010110000
312120020021002212011
42000133031102300
513403322231220
6553523212304
7104263563220
oct20037152260
95506232764
102155664560
11a068a8765
12501b17094
132847aa67a
1416641a080
15c93b065a
hex807cd4b0

2155664560 has 40 divisors (see below), whose sum is σ = 5727910176. Its totient is φ = 739084800.

The previous prime is 2155664521. The next prime is 2155664591. The reversal of 2155664560 is 654665512.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1924141 + ... + 1925260.

Almost surely, 22155664560 is an apocalyptic number.

2155664560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2155664560 is an abundant number, since it is smaller than the sum of its proper divisors (3572245616).

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

2155664560 is a wasteful number, since it uses less digits than its factorization.

2155664560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849421 (or 3849415 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The square root of 2155664560 is about 46429.1348185598. The cubic root of 2155664560 is about 1291.7953808234.

The spelling of 2155664560 in words is "two billion, one hundred fifty-five million, six hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3849401 7698802 15397604 19247005 26945807 30795208 38494010 53891614 61590416 76988020 107783228 134729035 153976040 215566456 269458070 307952080 431132912 538916140 1077832280 2155664560