Search a number
-
+
1687031136 = 25327836821
BaseRepresentation
bin110010010001110…
…0000110101100000
311100120110001122200
41210203200311200
511423334444021
6435222533200
756543346060
oct14443406540
94316401580
101687031136
1179631550a
123b0b97200
1320b68859b
141200ab3a0
159d191126
hex648e0d60

1687031136 has 72 divisors (see below), whose sum is σ = 5482857744. Its totient is φ = 482008320.

The previous prime is 1687031119. The next prime is 1687031167. The reversal of 1687031136 is 6311307861.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1687031136.

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, 416395 + ... + 420426.

It is an arithmetic number, because the mean of its divisors is an integer number (76150802).

Almost surely, 21687031136 is an apocalyptic number.

1687031136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1687031136 is an abundant number, since it is smaller than the sum of its proper divisors (3795826608).

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

1687031136 is a wasteful number, since it uses less digits than its factorization.

1687031136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836844 (or 836833 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1687031136 is about 41073.4845855571. The cubic root of 1687031136 is about 1190.4405157689.

Adding to 1687031136 its reverse (6311307861), we get a palindrome (7998338997).

The spelling of 1687031136 in words is "one billion, six hundred eighty-seven million, thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 836821 1673642 2510463 3347284 5020926 5857747 6694568 7531389 10041852 11715494 13389136 15062778 17573241 20083704 23430988 26778272 30125556 35146482 40167408 46861976 52719723 60251112 70292964 80334816 93723952 105439446 120502224 140585928 187447904 210878892 241004448 281171856 421757784 562343712 843515568 1687031136