Search a number
-
+
30315936 = 2537197229
BaseRepresentation
bin111001110100…
…1010110100000
32010001012122110
41303221112200
530230102221
63001435320
7515452440
oct163512640
963035573
1030315936
11161268a2
12a19bb40
136385a31
144052120
1529dc776
hex1ce95a0

30315936 has 96 divisors (see below), whose sum is σ = 91808640. Its totient is φ = 8580096.

The previous prime is 30315931. The next prime is 30315941. The reversal of 30315936 is 63951303.

It is an interprime number because it is at equal distance from previous prime (30315931) and next prime (30315941).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (30315931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132270 + ... + 132498.

It is an arithmetic number, because the mean of its divisors is an integer number (956340).

Almost surely, 230315936 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 30315936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45904320).

30315936 is an abundant number, since it is smaller than the sum of its proper divisors (61492704).

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

30315936 is a wasteful number, since it uses less digits than its factorization.

30315936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 30.

The square root of 30315936 is about 5505.9909189900. The cubic root of 30315936 is about 311.8102067264.

The spelling of 30315936 in words is "thirty million, three hundred fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 197 224 229 336 394 458 591 672 687 788 916 1182 1374 1379 1576 1603 1832 2364 2748 2758 3152 3206 3664 4137 4728 4809 5496 5516 6304 6412 7328 8274 9456 9618 10992 11032 12824 16548 18912 19236 21984 22064 25648 33096 38472 44128 45113 51296 66192 76944 90226 132384 135339 153888 180452 270678 315791 360904 541356 631582 721808 947373 1082712 1263164 1443616 1894746 2165424 2526328 3789492 4330848 5052656 7578984 10105312 15157968 30315936