[go: up one dir, main page]

Search a number
-
+
2142020988 = 2232317187699
BaseRepresentation
bin111111110101100…
…1010010101111100
312112021120221101200
41333223022111330
513341324132423
6552314535500
7104036610102
oct17753122574
95467527350
102142020988
119aa12a088
124b9437590
13281a11553
141646a7c72
15c80b7d43
hex7faca57c

2142020988 has 36 divisors (see below), whose sum is σ = 5431662600. Its totient is φ = 711750816.

The previous prime is 2142020957. The next prime is 2142020999. The reversal of 2142020988 is 8890202412.

2142020988 is a `hidden beast` number, since 21 + 420 + 209 + 8 + 8 = 666.

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

It is a super-2 number, since 2×21420209882 = 9176507826064992288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82438 + ... + 105261.

Almost surely, 22142020988 is an apocalyptic number.

It is an amenable number.

2142020988 is an abundant number, since it is smaller than the sum of its proper divisors (3289641612).

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

2142020988 is a wasteful number, since it uses less digits than its factorization.

2142020988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188026 (or 188021 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2142020988 is about 46281.9726027316. The cubic root of 2142020988 is about 1289.0642790596.

It can be divided in two parts, 214 and 2020988, that added together give a palindrome (2021202).

The spelling of 2142020988 in words is "two billion, one hundred forty-two million, twenty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 317 634 951 1268 1902 2853 3804 5706 11412 187699 375398 563097 750796 1126194 1689291 2252388 3378582 6757164 59500583 119001166 178501749 238002332 357003498 535505247 714006996 1071010494 2142020988