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2042106732 = 223296758661
BaseRepresentation
bin111100110111000…
…0001001101101100
312021022120202210200
41321232001031230
513140234403412
6534345233500
7101414422641
oct17156011554
95238522720
102042106732
11958797016
1248ba92890
132670caaa3
141552d9dc8
15be42d9dc
hex79b8136c

2042106732 has 36 divisors (see below), whose sum is σ = 5167418256. Its totient is φ = 679986720.

The previous prime is 2042106707. The next prime is 2042106739. The reversal of 2042106732 is 2376012402.

2042106732 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2042106696 and 2042106705.

It is not an unprimeable number, because it can be changed into a prime (2042106739) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5482 + ... + 64142.

It is an arithmetic number, because the mean of its divisors is an integer number (143539396).

Almost surely, 22042106732 is an apocalyptic number.

It is an amenable number.

2042106732 is an abundant number, since it is smaller than the sum of its proper divisors (3125311524).

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

2042106732 is a wasteful number, since it uses less digits than its factorization.

2042106732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59638 (or 59633 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2042106732 is about 45189.6750596859. The cubic root of 2042106732 is about 1268.7015749853.

The spelling of 2042106732 in words is "two billion, forty-two million, one hundred six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 967 1934 2901 3868 5802 8703 11604 17406 34812 58661 117322 175983 234644 351966 527949 703932 1055898 2111796 56725187 113450374 170175561 226900748 340351122 510526683 680702244 1021053366 2042106732