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2125435120 = 245264710037
BaseRepresentation
bin111111010101111…
…1001000011110000
312111010101021212021
41332223321003300
513323102410440
6550523241224
7103445620564
oct17653710360
95433337767
102125435120
119a0830956
124b3979214
1327b455123
141623cb6a4
15c68dd84a
hex7eaf90f0

2125435120 has 40 divisors (see below), whose sum is σ = 4943996064. Its totient is φ = 849768192.

The previous prime is 2125435093. The next prime is 2125435159. The reversal of 2125435120 is 215345212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206742 + ... + 216778.

Almost surely, 22125435120 is an apocalyptic number.

2125435120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2125435120 is an abundant number, since it is smaller than the sum of its proper divisors (2818560944).

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

2125435120 is a wasteful number, since it uses less digits than its factorization.

2125435120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12697 (or 12691 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2125435120 is about 46102.4415839335. The cubic root of 2125435120 is about 1285.7285396186.

The spelling of 2125435120 in words is "two billion, one hundred twenty-five million, four hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2647 5294 10037 10588 13235 20074 21176 26470 40148 42352 50185 52940 80296 100370 105880 160592 200740 211760 401480 802960 26567939 53135878 106271756 132839695 212543512 265679390 425087024 531358780 1062717560 2125435120