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30257136 = 24327132309
BaseRepresentation
bin111001101101…
…0111111110000
32002221012222200
41303122333300
530221212021
63000303200
7515116140
oct163327760
962835880
1030257136
11160966a8
12a171b00
136365040
144038920
1529ca126
hex1cdaff0

30257136 has 120 divisors (see below), whose sum is σ = 104264160. Its totient is φ = 7976448.

The previous prime is 30257131. The next prime is 30257137. The reversal of 30257136 is 63175203.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30257131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11950 + ... + 14258.

It is an arithmetic number, because the mean of its divisors is an integer number (868868).

Almost surely, 230257136 is an apocalyptic number.

30257136 is a gapful number since it is divisible by the number (36) 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 30257136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52132080).

30257136 is an abundant number, since it is smaller than the sum of its proper divisors (74007024).

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

30257136 is a wasteful number, since it uses less digits than its factorization.

30257136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 30257136 is about 5500.6486890184. The cubic root of 30257136 is about 311.6084832653.

The spelling of 30257136 in words is "thirty million, two hundred fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 2309 3276 4368 4618 6552 6927 9236 13104 13854 16163 18472 20781 27708 30017 32326 36944 41562 48489 55416 60034 64652 83124 90051 96978 110832 120068 129304 145467 166248 180102 193956 210119 240136 258608 270153 290934 332496 360204 387912 420238 480272 540306 581868 630357 720408 775824 840476 1080612 1163736 1260714 1440816 1680952 1891071 2161224 2327472 2521428 3361904 3782142 4322448 5042856 7564284 10085712 15128568 30257136