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2145256160 = 255101132751
BaseRepresentation
bin111111111011110…
…0000001011100000
312112111200022012212
41333313200023200
513343141144120
6552512141252
7104106243065
oct17767401340
95474608185
102145256160
11a00a39783
124ba537828
132825a4c58
14164caac6c
15c85066c5
hex7fde02e0

2145256160 has 48 divisors (see below), whose sum is σ = 5118386112. Its totient is φ = 849600000.

The previous prime is 2145256159. The next prime is 2145256193. The reversal of 2145256160 is 616525412.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50216 + ... + 82535.

It is an arithmetic number, because the mean of its divisors is an integer number (106633044).

Almost surely, 22145256160 is an apocalyptic number.

2145256160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145256160 is an abundant number, since it is smaller than the sum of its proper divisors (2973129952).

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

2145256160 is a wasteful number, since it uses less digits than its factorization.

2145256160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132867 (or 132859 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 2145256160 is about 46316.9100869218. The cubic root of 2145256160 is about 1289.7129261245.

The spelling of 2145256160 in words is "two billion, one hundred forty-five million, two hundred fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 3232 4040 8080 16160 132751 265502 531004 663755 1062008 1327510 2124016 2655020 4248032 5310040 10620080 13407851 21240160 26815702 53631404 67039255 107262808 134078510 214525616 268157020 429051232 536314040 1072628080 2145256160