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261109668 = 22397122409
BaseRepresentation
bin11111001000000…
…11011110100100
3200012022202010110
433210003132210
51013321002133
641524253020
76320252451
oct1744033644
9605282113
10261109668
11124431616
1273541170
1342132381
142696c828
1517dcac63
hexf9037a4

261109668 has 24 divisors (see below), whose sum is σ = 609910560. Its totient is φ = 86943040.

The previous prime is 261109661. The next prime is 261109669. The reversal of 261109668 is 866901162.

261109668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (261109661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448 + ... + 22856.

It is an arithmetic number, because the mean of its divisors is an integer number (25412940).

Almost surely, 2261109668 is an apocalyptic number.

It is an amenable number.

261109668 is an abundant number, since it is smaller than the sum of its proper divisors (348800892).

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

261109668 is a wasteful number, since it uses less digits than its factorization.

261109668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23387 (or 23385 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 261109668 is about 16158.8882043289. Note that the first 3 decimals coincide. The cubic root of 261109668 is about 639.1571489541.

It can be divided in two parts, 26110 and 9668, that added together give a triangular number (35778 = T267).

The spelling of 261109668 in words is "two hundred sixty-one million, one hundred nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 971 1942 2913 3884 5826 11652 22409 44818 67227 89636 134454 268908 21759139 43518278 65277417 87036556 130554834 261109668