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253006104 = 233131747701
BaseRepresentation
bin11110001010010…
…01000100011000
3122122002001010110
433011021010120
51004232143404
641034444320
76161342061
oct1705110430
9578061113
10253006104
1111a8a725a
12708936a0
1340555a70
142585d568
1517329b89
hexf149118

253006104 has 64 divisors (see below), whose sum is σ = 721254240. Its totient is φ = 73267200.

The previous prime is 253006081. The next prime is 253006129. The reversal of 253006104 is 401600352.

It is a happy number.

It is a super-2 number, since 2×2530061042 = 128024177322517632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18547 + ... + 29154.

Almost surely, 2253006104 is an apocalyptic number.

253006104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253006104 is an abundant number, since it is smaller than the sum of its proper divisors (468248136).

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

253006104 is a wasteful number, since it uses less digits than its factorization.

253006104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47740 (or 47736 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 253006104 is about 15906.1655970256. The cubic root of 253006104 is about 632.4754407291.

Adding to 253006104 its reverse (401600352), we get a palindrome (654606456).

The spelling of 253006104 in words is "two hundred fifty-three million, six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 47701 95402 143103 190804 286206 381608 572412 620113 810917 1144824 1240226 1621834 1860339 2432751 2480452 3243668 3720678 4865502 4960904 6487336 7441356 9731004 10541921 14882712 19462008 21083842 31625763 42167684 63251526 84335368 126503052 253006104