Search a number
-
+
30557016 = 23327193191
BaseRepresentation
bin111010010010…
…0001101011000
32010111110100100
41310210031120
530310311031
63010535400
7520505340
oct164441530
963443310
1030557016
1116280a36
12a297560
13643b699
1440b5d20
152a38de6
hex1d24358

30557016 has 96 divisors (see below), whose sum is σ = 99590400. Its totient is φ = 8268480.

The previous prime is 30557011. The next prime is 30557017. The reversal of 30557016 is 61075503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30557011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7981 + ... + 11171.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 230557016 is an apocalyptic number.

30557016 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 30557016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49795200).

30557016 is an abundant number, since it is smaller than the sum of its proper divisors (69033384).

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

30557016 is a wasteful number, since it uses less digits than its factorization.

30557016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 30557016 is about 5527.8400845176. The cubic root of 30557016 is about 312.6345566674.

The spelling of 30557016 in words is "thirty million, five hundred fifty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3191 3192 4788 6382 9573 9576 12764 19146 22337 25528 28719 38292 44674 57438 60629 67011 76584 89348 114876 121258 134022 178696 181887 201033 229752 242516 268044 363774 402066 424403 485032 536088 545661 727548 804132 848806 1091322 1273209 1455096 1608264 1697612 2182644 2546418 3395224 3819627 4365288 5092836 7639254 10185672 15278508 30557016