Search a number
-
+
30053268 = 223572631
BaseRepresentation
bin111001010100…
…1001110010100
32002112212100000
41302221032110
530143201033
62552051300
7513306600
oct162511624
962485300
1030053268
1115a67513
12a093b30
1362c32cb
143dc4500
152989a13
hex1ca9394

30053268 has 108 divisors (see below), whose sum is σ = 91789152. Its totient is φ = 8573040.

The previous prime is 30053267. The next prime is 30053281. The reversal of 30053268 is 86235003.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30053267) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47313 + ... + 47943.

Almost surely, 230053268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30053268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45894576).

30053268 is an abundant number, since it is smaller than the sum of its proper divisors (61735884).

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

30053268 is a wasteful number, since it uses less digits than its factorization.

30053268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30053268 is about 5482.0860992874. The cubic root of 30053268 is about 310.9070485890.

The spelling of 30053268 in words is "thirty million, fifty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 631 756 882 972 1134 1262 1323 1701 1764 1893 2268 2524 2646 3402 3786 3969 4417 5292 5679 6804 7572 7938 8834 11358 11907 13251 15876 17037 17668 22716 23814 26502 30919 34074 39753 47628 51111 53004 61838 68148 79506 92757 102222 119259 123676 153333 159012 185514 204444 238518 278271 306666 357777 371028 477036 556542 613332 715554 834813 1073331 1113084 1431108 1669626 2146662 2504439 3339252 4293324 5008878 7513317 10017756 15026634 30053268