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253046106 = 236197881
BaseRepresentation
bin11110001010100…
…10110101011010
3122122011002000000
433011102311122
51004234433411
641035353430
76161566515
oct1705226532
9578132000
10253046106
1111a924315
12708b2876
134056b031
142586dd7c
1517336956
hexf152d5a

253046106 has 56 divisors (see below), whose sum is σ = 572631444. Its totient is φ = 83825280.

The previous prime is 253046089. The next prime is 253046113. The reversal of 253046106 is 601640352.

It can be written as a sum of positive squares in 2 ways, for example, as 247779081 + 5267025 = 15741^2 + 2295^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 253046106.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 286786 + ... + 287666.

Almost surely, 2253046106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253046106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286315722).

253046106 is an abundant number, since it is smaller than the sum of its proper divisors (319585338).

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

253046106 is an equidigital number, since it uses as much as digits as its factorization.

253046106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 253046106 is about 15907.4229842549. The cubic root of 253046106 is about 632.5087718740.

Adding to 253046106 its reverse (601640352), we get a palindrome (854686458).

The spelling of 253046106 in words is "two hundred fifty-three million, forty-six thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 197 243 394 486 591 729 881 1182 1458 1762 1773 2643 3546 5286 5319 7929 10638 15858 15957 23787 31914 47574 47871 71361 95742 142722 143613 173557 214083 287226 347114 428166 520671 642249 1041342 1284498 1562013 3124026 4686039 9372078 14058117 28116234 42174351 84348702 126523053 253046106