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261103662 = 23419412069
BaseRepresentation
bin11111001000000…
…10000000101110
3200012022102220000
433210002000232
51013320304122
641524205130
76320226111
oct1744020056
9605272800
10261103662
11124428056
12735397a6
134212c711
142696a578
1517dc90ac
hexf90202e

261103662 has 80 divisors (see below), whose sum is σ = 631184400. Its totient is φ = 80403840.

The previous prime is 261103657. The next prime is 261103673. The reversal of 261103662 is 266301162.

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

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 39 ways as a sum of consecutive naturals, for example, 125164 + ... + 127232.

It is an arithmetic number, because the mean of its divisors is an integer number (7889805).

Almost surely, 2261103662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261103662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315592200).

261103662 is an abundant number, since it is smaller than the sum of its proper divisors (370080738).

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

261103662 is a wasteful number, since it uses less digits than its factorization.

261103662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 261103662 is about 16158.7023612665. The cubic root of 261103662 is about 639.1522483220.

The spelling of 261103662 in words is "two hundred sixty-one million, one hundred three thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 81 82 114 123 162 171 246 342 369 513 738 779 1026 1107 1539 1558 2069 2214 2337 3078 3321 4138 4674 6207 6642 7011 12414 14022 18621 21033 37242 39311 42066 55863 63099 78622 84829 111726 117933 126198 167589 169658 235866 254487 335178 353799 508974 707598 763461 1061397 1526922 1611751 2122794 2290383 3184191 3223502 4580766 4835253 6368382 6871149 9670506 13742298 14505759 29011518 43517277 87034554 130551831 261103662