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763230 = 2351319103
BaseRepresentation
bin10111010010101011110
31102202221210
42322111132
5143410410
624205250
76326106
oct2722536
91382853
10763230
11481476
12309826
13209520
1415c206
15101220
hexba55e

763230 has 64 divisors (see below), whose sum is σ = 2096640. Its totient is φ = 176256.

The previous prime is 763223. The next prime is 763237. The reversal of 763230 is 32367.

763230 is a nontrivial binomial coefficient, being equal to C(1236, 2).

It is an interprime number because it is at equal distance from previous prime (763223) and next prime (763237).

It is a super-3 number, since 3×7632303 = 1333790294130801000, which contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 763197 and 763206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763237) by changing a digit.

763230 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7359 + ... + 7461.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2763230 is an apocalyptic number.

763230 is the 1235-th triangular number and also the 618-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 763230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048320).

763230 is an abundant number, since it is smaller than the sum of its proper divisors (1333410).

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

763230 is a wasteful number, since it uses less digits than its factorization.

763230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145.

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 763230 is about 873.6303566154. The cubic root of 763230 is about 91.3871522304.

Adding to 763230 its reverse (32367), we get a palindrome (795597).

The spelling of 763230 in words is "seven hundred sixty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 103 114 130 190 195 206 247 285 309 390 494 515 570 618 741 1030 1235 1339 1482 1545 1957 2470 2678 3090 3705 3914 4017 5871 6695 7410 8034 9785 11742 13390 19570 20085 25441 29355 40170 50882 58710 76323 127205 152646 254410 381615 763230