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263758740 = 223571724153
BaseRepresentation
bin11111011100010…
…10001110010100
3200101022022222020
433232022032110
51020010234430
642101133140
76351624630
oct1756121624
9611268866
10263758740
11125980933
12743ba1b0
134284c07b
142705bdc0
1518250b10
hexfb8a394

263758740 has 288 divisors, whose sum is σ = 935794944. Its totient is φ = 54312960.

The previous prime is 263758721. The next prime is 263758753. The reversal of 263758740 is 47857362.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 263758692 and 263758701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4976554 + ... + 4976606.

It is an arithmetic number, because the mean of its divisors is an integer number (3249288).

Almost surely, 2263758740 is an apocalyptic number.

263758740 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 263758740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467897472).

263758740 is an abundant number, since it is smaller than the sum of its proper divisors (672036204).

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

263758740 is a wasteful number, since it uses less digits than its factorization.

263758740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 263758740 is about 16240.6508490270. The cubic root of 263758740 is about 641.3113898418.

The spelling of 263758740 in words is "two hundred sixty-three million, seven hundred fifty-eight thousand, seven hundred forty".