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2120752000 = 2753132547
BaseRepresentation
bin111111001101000…
…0001101110000000
312110210120100211101
41332122001232000
513320403031000
6550235024144
7103361044303
oct17632015600
95423510741
102120752000
11999122404
124b229b054
1327a4a5653
1416192cb3a
15c62b5e6a
hex7e681b80

2120752000 has 64 divisors (see below), whose sum is σ = 5272759440. Its totient is φ = 848294400.

The previous prime is 2120751979. The next prime is 2120752003. The reversal of 2120752000 is 2570212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120752003) 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, 50274 + ... + 82273.

Almost surely, 22120752000 is an apocalyptic number.

2120752000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120752000 is an abundant number, since it is smaller than the sum of its proper divisors (3152007440).

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

2120752000 is an equidigital number, since it uses as much as digits as its factorization.

2120752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132576 (or 132554 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 2120752000 is about 46051.6232070054. The cubic root of 2120752000 is about 1284.7835333108.

The spelling of 2120752000 in words is "two billion, one hundred twenty million, seven hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 132547 265094 530188 662735 1060376 1325470 2120752 2650940 3313675 4241504 5301880 6627350 8483008 10603760 13254700 16568375 16966016 21207520 26509400 33136750 42415040 53018800 66273500 84830080 106037600 132547000 212075200 265094000 424150400 530188000 1060376000 2120752000