Search a number
-
+
20402332120 = 2354315775553
BaseRepresentation
bin10011000000000100…
…101110000111011000
31221122212120212011101
4103000010232013120
5313240444111440
613212300441144
71321405650562
oct230004560730
957585525141
1020402332120
11871a648105
123b548491b4
131c01b54891
14db78d6332
157e624069a
hex4c012e1d8

20402332120 has 64 divisors (see below), whose sum is σ = 47272626720. Its totient is φ = 7920267264.

The previous prime is 20402332117. The next prime is 20402332123. The reversal of 20402332120 is 2123320402.

It is an interprime number because it is at equal distance from previous prime (20402332117) and next prime (20402332123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20402332123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232264 + ... + 307816.

Almost surely, 220402332120 is an apocalyptic number.

20402332120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20402332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23636313360).

20402332120 is an abundant number, since it is smaller than the sum of its proper divisors (26870294600).

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

20402332120 is a wasteful number, since it uses less digits than its factorization.

20402332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75764 (or 75760 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 20402332120 its reverse (2123320402), we get a palindrome (22525652522).

The spelling of 20402332120 in words is "twenty billion, four hundred two million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 157 172 215 314 344 430 628 785 860 1256 1570 1720 3140 6280 6751 13502 27004 33755 54008 67510 75553 135020 151106 270040 302212 377765 604424 755530 1511060 3022120 3248779 6497558 11861821 12995116 16243895 23723642 25990232 32487790 47447284 59309105 64975580 94894568 118618210 129951160 237236420 474472840 510058303 1020116606 2040233212 2550291515 4080466424 5100583030 10201166060 20402332120