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2120214304 = 251341124309
BaseRepresentation
bin111111001011111…
…1110011100100000
312110202120001020201
41332113332130200
513320233324204
6550215314544
7103353344545
oct17627763440
95422501221
102120214304
1199889542a
124b207ba54
1327a3479a0
1416182cbcc
15c620b9a4
hex7e5fe720

2120214304 has 48 divisors (see below), whose sum is σ = 4604939640. Its totient is φ = 954685440.

The previous prime is 2120214301. The next prime is 2120214323. The reversal of 2120214304 is 4034120212.

It can be written as a sum of positive squares in 4 ways, for example, as 531394704 + 1588819600 = 23052^2 + 39860^2 .

It is not an unprimeable number, because it can be changed into a prime (2120214301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45099 + ... + 79210.

Almost surely, 22120214304 is an apocalyptic number.

It is an amenable number.

2120214304 is an abundant number, since it is smaller than the sum of its proper divisors (2484725336).

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

2120214304 is a wasteful number, since it uses less digits than its factorization.

2120214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124373 (or 124365 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2120214304 is about 46045.7848668040. The cubic root of 2120214304 is about 1284.6749426852.

Adding to 2120214304 its reverse (4034120212), we get a palindrome (6154334516).

The spelling of 2120214304 in words is "two billion, one hundred twenty million, two hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 2132 4264 8528 17056 124309 248618 497236 994472 1616017 1988944 3232034 3977888 5096669 6464068 10193338 12928136 20386676 25856272 40773352 51712544 66256697 81546704 132513394 163093408 265026788 530053576 1060107152 2120214304