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260994240 = 26325136971
BaseRepresentation
bin11111000111001…
…11010011000000
3200012002212210100
433203213103000
51013303303430
641522002400
76316262103
oct1743472300
9605085710
10260994240
11124362921
12734a6400
13420c1980
142693c73a
1517da6960
hexf8e74c0

260994240 has 168 divisors, whose sum is σ = 966904848. Its totient is φ = 64235520.

The previous prime is 260994221. The next prime is 260994257. The reversal of 260994240 is 42499062.

260994240 is a `hidden beast` number, since 2 + 609 + 9 + 4 + 2 + 40 = 666.

260994240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2609942403 (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 260994195 and 260994204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33955 + ... + 40925.

It is an arithmetic number, because the mean of its divisors is an integer number (5755386).

Almost surely, 2260994240 is an apocalyptic number.

260994240 is a gapful number since it is divisible by the number (20) 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 260994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483452424).

260994240 is an abundant number, since it is smaller than the sum of its proper divisors (705910608).

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

260994240 is a wasteful number, since it uses less digits than its factorization.

260994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7007 (or 6994 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 260994240 is about 16155.3161528953. The cubic root of 260994240 is about 639.0629516180.

The spelling of 260994240 in words is "two hundred sixty million, nine hundred ninety-four thousand, two hundred forty".