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261075672 = 2332111325357
BaseRepresentation
bin11111000111110…
…11001011011000
3200012021000111100
433203323023120
51013313410142
641523431400
76320051364
oct1743731330
9605230440
10261075672
11124409020
1273525560
134211ca60
14269602a4
1517dc0b4c
hexf8fb2d8

261075672 has 96 divisors (see below), whose sum is σ = 830728080. Its totient is φ = 73025280.

The previous prime is 261075671. The next prime is 261075673. The reversal of 261075672 is 276570162.

It is an interprime number because it is at equal distance from previous prime (261075671) and next prime (261075673).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261075671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2383 + ... + 22974.

Almost surely, 2261075672 is an apocalyptic number.

261075672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261075672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415364040).

261075672 is an abundant number, since it is smaller than the sum of its proper divisors (569652408).

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

261075672 is a wasteful number, since it uses less digits than its factorization.

261075672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25393 (or 25386 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 261075672 is about 16157.8362412793. The cubic root of 261075672 is about 639.1294087206.

The spelling of 261075672 in words is "two hundred sixty-one million, seventy-five thousand, six hundred seventy-two".