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2120651424 = 25327363373
BaseRepresentation
bin111111001100110…
…1001001010100000
312110210101020212100
41332121221022200
513320341321144
6550232530400
7103360145133
oct17631511240
95423336770
102120651424
11999063891
124b2250a00
1327a46b938
1416190421a
15c6296269
hex7e6692a0

2120651424 has 36 divisors (see below), whose sum is σ = 6030603306. Its totient is φ = 706883712.

The previous prime is 2120651369. The next prime is 2120651437. The reversal of 2120651424 is 4241560212.

2120651424 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 651 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1699088400 + 421563024 = 41220^2 + 20532^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×21206514242 = 8994324924226455552, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3681399 + ... + 3681974.

Almost surely, 22120651424 is an apocalyptic number.

2120651424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2120651424 is an abundant number, since it is smaller than the sum of its proper divisors (3909951882).

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

2120651424 is a wasteful number, since it uses less digits than its factorization.

2120651424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7363389 (or 7363378 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2120651424 is about 46050.5312021479. The cubic root of 2120651424 is about 1284.7632228373.

The spelling of 2120651424 in words is "two billion, one hundred twenty million, six hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7363373 14726746 22090119 29453492 44180238 58906984 66270357 88360476 117813968 132540714 176720952 235627936 265081428 353441904 530162856 706883808 1060325712 2120651424