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261436230 = 232511224007
BaseRepresentation
bin11111001010100…
…11001101000110
3200012221100002100
433211103031012
51013411424410
641535252530
76323112516
oct1745231506
9605840070
10261436230
11124634a00
127367a146
1342217bc3
1426a15846
1517e428c0
hexf953346

261436230 has 72 divisors (see below), whose sum is σ = 747176976. Its totient is φ = 63375840.

The previous prime is 261436229. The next prime is 261436267. The reversal of 261436230 is 32634162.

261436230 is a `hidden beast` number, since 26 + 14 + 3 + 623 + 0 = 666.

It is a super-2 number, since 2×2614362302 = 136697804713225800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 261436194 and 261436203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1114 + ... + 22893.

It is an arithmetic number, because the mean of its divisors is an integer number (10377458).

Almost surely, 2261436230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261436230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373588488).

261436230 is an abundant number, since it is smaller than the sum of its proper divisors (485740746).

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

261436230 is a wasteful number, since it uses less digits than its factorization.

261436230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24042 (or 24028 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 261436230 is about 16168.9897643607. The cubic root of 261436230 is about 639.4234961481.

The spelling of 261436230 in words is "two hundred sixty-one million, four hundred thirty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 24007 48014 72021 120035 144042 216063 240070 264077 360105 432126 528154 720210 792231 1080315 1320385 1584462 2160630 2376693 2640770 2904847 3961155 4753386 5809694 7922310 8714541 11883465 14524235 17429082 23766930 26143623 29048470 43572705 52287246 87145410 130718115 261436230