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13783230 = 233571719
BaseRepresentation
bin110100100101…
…000010111110
3221221021001000
4310211002332
512012030410
61211231130
7225104226
oct64450276
927837030
1013783230
1178645aa
1247484a6
132b17876
141b8b086
151323dc0
hexd250be

13783230 has 64 divisors (see below), whose sum is σ = 37324800. Its totient is φ = 3618720.

The previous prime is 13783201. The next prime is 13783241. The reversal of 13783230 is 3238731.

13783230 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13783194 and 13783203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18811 + ... + 19529.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 213783230 is an apocalyptic number.

13783230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13783230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662400).

13783230 is an abundant number, since it is smaller than the sum of its proper divisors (23541570).

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

13783230 is a wasteful number, since it uses less digits than its factorization.

13783230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13783230 is about 3712.5772719231. The cubic root of 13783230 is about 239.7638301755.

The spelling of 13783230 in words is "thirteen million, seven hundred eighty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 90 135 142 213 270 355 426 639 710 719 1065 1278 1438 1917 2130 2157 3195 3595 3834 4314 6390 6471 7190 9585 10785 12942 19170 19413 21570 32355 38826 51049 64710 97065 102098 153147 194130 255245 306294 459441 510490 765735 918882 1378323 1531470 2297205 2756646 4594410 6891615 13783230