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2120132394 = 23453246929
BaseRepresentation
bin111111001011110…
…1010011100101010
312110202101212220000
41332113222130222
513320223214034
6550213443430
7103352554002
oct17627523452
95422355800
102120132394
11998839936
124b2040576
1327a319613
1416180b002
15c61e2599
hex7e5ea72a

2120132394 has 40 divisors (see below), whose sum is σ = 4840321860. Its totient is φ = 693373824.

The previous prime is 2120132359. The next prime is 2120132411. The reversal of 2120132394 is 4932310212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2112597369 + 7535025 = 45963^2 + 2745^2 .

It is a super-2 number, since 2×21201323942 = 8989922736176342472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 114879 + ... + 132050.

Almost surely, 22120132394 is an apocalyptic number.

2120132394 is an abundant number, since it is smaller than the sum of its proper divisors (2720189466).

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

2120132394 is a wasteful number, since it uses less digits than its factorization.

2120132394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246996 (or 246987 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2120132394 is about 46044.8954174076. The cubic root of 2120132394 is about 1284.6583989048.

The spelling of 2120132394 in words is "two billion, one hundred twenty million, one hundred thirty-two thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1431 2862 4293 8586 246929 493858 740787 1481574 2222361 4444722 6667083 13087237 13334166 20001249 26174474 39261711 40002498 78523422 117785133 235570266 353355399 706710798 1060066197 2120132394