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263030040 = 2332572133137
BaseRepresentation
bin11111010110110…
…00010100011000
3200022221022101100
433223120110120
51014313430130
642033351400
76342501300
oct1753302430
9608838340
10263030040
111255233a9
1274108560
13426554a0
1426d0c600
1518159c60
hexfad8518

263030040 has 576 divisors, whose sum is σ = 1135330560. Its totient is φ = 52254720.

The previous prime is 263030017. The next prime is 263030063. The reversal of 263030040 is 40030362.

263030040 is a `hidden beast` number, since 2 + 630 + 30 + 0 + 4 + 0 = 666.

263030040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (263030017) and next prime (263030063).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 263029995 and 263030022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7108902 + ... + 7108938.

It is an arithmetic number, because the mean of its divisors is an integer number (1971060).

Almost surely, 2263030040 is an apocalyptic number.

263030040 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 263030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567665280).

263030040 is an abundant number, since it is smaller than the sum of its proper divisors (872300520).

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

263030040 is a wasteful number, since it uses less digits than its factorization.

263030040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 263030040 is about 16218.2008866582. The cubic root of 263030040 is about 640.7202503305.

The spelling of 263030040 in words is "two hundred sixty-three million, thirty thousand, forty".