Search a number
-
+
13956030 = 23351137127
BaseRepresentation
bin110101001111…
…001110111110
3222021001002000
4311033032332
512033043110
61215043130
7226424064
oct65171676
928231060
1013956030
117972410
1248104a6
132b7840a
141bd4034
15135a1c0
hexd4f3be

13956030 has 128 divisors (see below), whose sum is σ = 42024960. Its totient is φ = 3265920.

The previous prime is 13956029. The next prime is 13956043. The reversal of 13956030 is 3065931.

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 = 13955985 and 13956003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109827 + ... + 109953.

It is an arithmetic number, because the mean of its divisors is an integer number (328320).

Almost surely, 213956030 is an apocalyptic number.

13956030 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 13956030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21012480).

13956030 is an abundant number, since it is smaller than the sum of its proper divisors (28068930).

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

13956030 is a wasteful number, since it uses less digits than its factorization.

13956030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 13956030 is about 3735.7770276075. Note that the first 3 decimals coincide. The cubic root of 13956030 is about 240.7616428604.

It can be divided in two parts, 139 and 56030, that added together give a square (56169 = 2372).

The spelling of 13956030 in words is "thirteen million, nine hundred fifty-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 37 45 54 55 66 74 90 99 110 111 127 135 165 185 198 222 254 270 297 330 333 370 381 407 495 555 594 635 666 762 814 990 999 1110 1143 1221 1270 1397 1485 1665 1905 1998 2035 2286 2442 2794 2970 3330 3429 3663 3810 4070 4191 4699 4995 5715 6105 6858 6985 7326 8382 9398 9990 10989 11430 12210 12573 13970 14097 17145 18315 20955 21978 23495 25146 28194 34290 36630 37719 41910 42291 46990 51689 54945 62865 70485 75438 84582 103378 109890 125730 126873 140970 155067 188595 211455 253746 258445 310134 377190 422910 465201 516890 634365 775335 930402 1268730 1395603 1550670 2326005 2791206 4652010 6978015 13956030