Search a number
-
+
263138004 = 22335345971
BaseRepresentation
bin11111010111100…
…10101011010100
3200100010210111000
433223302223110
51014330404004
642035543300
76343431123
oct1753625324
9610123430
10263138004
11125597528
127415ab30
134269267c
1426d39aba
151817bc39
hexfaf2ad4

263138004 has 48 divisors (see below), whose sum is σ = 695096640. Its totient is φ = 86055840.

The previous prime is 263138003. The next prime is 263138021. The reversal of 263138004 is 400831362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263138003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17262 + ... + 28709.

It is an arithmetic number, because the mean of its divisors is an integer number (14481180).

Almost surely, 2263138004 is an apocalyptic number.

It is an amenable number.

263138004 is an abundant number, since it is smaller than the sum of its proper divisors (431958636).

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

263138004 is a wasteful number, since it uses less digits than its factorization.

263138004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46037 (or 46029 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 263138004 is about 16221.5290278075. The cubic root of 263138004 is about 640.8079022437.

Adding to 263138004 its reverse (400831362), we get a palindrome (663969366).

The spelling of 263138004 in words is "two hundred sixty-three million, one hundred thirty-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2862 5724 45971 91942 137913 183884 275826 413739 551652 827478 1241217 1654956 2436463 2482434 4872926 4964868 7309389 9745852 14618778 21928167 29237556 43856334 65784501 87712668 131569002 263138004