Search a number
-
+
639342144 = 26327158567
BaseRepresentation
bin100110000110111…
…001011001000000
31122120000221112200
4212012321121000
52302132422034
6143235153200
721562214160
oct4606713100
91576027480
10639342144
112a898a241
1215a145800
13a25c1b7c
1460ca85a0
153b1dea99
hex261b9640

639342144 has 84 divisors (see below), whose sum is σ = 2094366144. Its totient is φ = 182668032.

The previous prime is 639342139. The next prime is 639342157. The reversal of 639342144 is 441243936.

It is a happy number.

639342144 is a `hidden beast` number, since 639 + 3 + 4 + 2 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 639342099 and 639342108.

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, 75252 + ... + 83315.

Almost surely, 2639342144 is an apocalyptic number.

639342144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

639342144 is an abundant number, since it is smaller than the sum of its proper divisors (1455024000).

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

639342144 is a wasteful number, since it uses less digits than its factorization.

639342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158592 (or 158579 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 639342144 is about 25285.2159176069. The cubic root of 639342144 is about 861.4785023290.

The spelling of 639342144 in words is "six hundred thirty-nine million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 158567 317134 475701 634268 951402 1109969 1268536 1427103 1902804 2219938 2537072 2854206 3329907 3805608 4439876 5074144 5708412 6659814 7611216 8879752 9989721 10148288 11416824 13319628 15222432 17759504 19979442 22833648 26639256 30444864 35519008 39958884 45667296 53278512 71038016 79917768 91334592 106557024 159835536 213114048 319671072 639342144