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263026040 = 23517613631
BaseRepresentation
bin11111010110101…
…11010101111000
3200022221002220012
433223113111320
51014313313130
642033321052
76342453524
oct1753272570
9608832805
10263026040
111255203a2
1274106188
1342653714
1426d0ad84
1518158995
hexfad7578

263026040 has 64 divisors (see below), whose sum is σ = 628637760. Its totient is φ = 98703360.

The previous prime is 263026033. The next prime is 263026051. The reversal of 263026040 is 40620362.

It is a super-5 number, since 5×2630260405 (a number of 43 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 263025997 and 263026015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416525 + ... + 417155.

It is an arithmetic number, because the mean of its divisors is an integer number (9822465).

Almost surely, 2263026040 is an apocalyptic number.

263026040 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 263026040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314318880).

263026040 is an abundant number, since it is smaller than the sum of its proper divisors (365611720).

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

263026040 is a wasteful number, since it uses less digits than its factorization.

263026040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 263026040 is about 16218.0775679487. The cubic root of 263026040 is about 640.7170024201.

The spelling of 263026040 in words is "two hundred sixty-three million, twenty-six thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 613 631 680 1226 1262 2452 2524 3065 3155 4904 5048 6130 6310 10421 10727 12260 12620 20842 21454 24520 25240 41684 42908 52105 53635 83368 85816 104210 107270 208420 214540 386803 416840 429080 773606 1547212 1934015 3094424 3868030 6575651 7736060 13151302 15472120 26302604 32878255 52605208 65756510 131513020 263026040