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2145554560 = 27529115601
BaseRepresentation
bin111111111100010…
…1001000010000000
312112112020110112201
41333320221002000
513343230221220
6552522402544
7104111625052
oct17770510200
95475213481
102145554560
11a01122996
124ba660454
1328267aa16
14164d478d2
15c8564d0a
hex7fe29080

2145554560 has 64 divisors (see below), whose sum is σ = 5306131800. Its totient is φ = 828620800.

The previous prime is 2145554527. The next prime is 2145554569. The reversal of 2145554560 is 654555412.

It can be written as a sum of positive squares in 4 ways, for example, as 2137397824 + 8156736 = 46232^2 + 2856^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2145554569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39241 + ... + 76360.

Almost surely, 22145554560 is an apocalyptic number.

2145554560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145554560 is an abundant number, since it is smaller than the sum of its proper divisors (3160577240).

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

2145554560 is a wasteful number, since it uses less digits than its factorization.

2145554560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115649 (or 115637 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 37.

The square root of 2145554560 is about 46320.1312606085. The cubic root of 2145554560 is about 1289.7727220131.

The spelling of 2145554560 in words is "two billion, one hundred forty-five million, five hundred fifty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 3712 4640 9280 18560 115601 231202 462404 578005 924808 1156010 1849616 2312020 3352429 3699232 4624040 6704858 7398464 9248080 13409716 14796928 16762145 18496160 26819432 33524290 36992320 53638864 67048580 73984640 107277728 134097160 214555456 268194320 429110912 536388640 1072777280 2145554560