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2120629300 = 2252171247429
BaseRepresentation
bin111111001100110…
…0011110000110100
312110210100010111221
41332121203300310
513320340114200
6550232240124
7103360023466
oct17631436064
95423303457
102120629300
119990491a9
124b2240044
1327a46184a
141618da136
15c628e91a
hex7e663c34

2120629300 has 36 divisors (see below), whose sum is σ = 4872461580. Its totient is φ = 798353920.

The previous prime is 2120629297. The next prime is 2120629337. The reversal of 2120629300 is 39260212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 29030544 + 2091598756 = 5388^2 + 45734^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 622015 + ... + 625414.

It is an arithmetic number, because the mean of its divisors is an integer number (135346155).

Almost surely, 22120629300 is an apocalyptic number.

2120629300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120629300 is an abundant number, since it is smaller than the sum of its proper divisors (2751832280).

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

2120629300 is a wasteful number, since it uses less digits than its factorization.

2120629300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247460 (or 1247453 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 2120629300 is about 46050.2909871371. The cubic root of 2120629300 is about 1284.7587549963.

Adding to 2120629300 its reverse (39260212), we get a palindrome (2159889512).

The spelling of 2120629300 in words is "two billion, one hundred twenty million, six hundred twenty-nine thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1247429 2494858 4989716 6237145 12474290 21206293 24948580 31185725 42412586 62371450 84825172 106031465 124742900 212062930 424125860 530157325 1060314650 2120629300