Search a number
-
+
576720216 = 233323294003
BaseRepresentation
bin100010011000000…
…000110101011000
31111012012102102000
4202120000311120
52140120021331
6133121041000
720202020022
oct4230006530
91435172360
10576720216
112765a8486
12141186160
1392637687
1456847012
15359700e6
hex22600d58

576720216 has 128 divisors (see below), whose sum is σ = 1729728000. Its totient is φ = 177496704.

The previous prime is 576720211. The next prime is 576720229. The reversal of 576720216 is 612027675.

576720216 is a `hidden beast` number, since 576 + 72 + 0 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (576720211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142071 + ... + 146073.

It is an arithmetic number, because the mean of its divisors is an integer number (13513500).

Almost surely, 2576720216 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 576720216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864864000).

576720216 is an abundant number, since it is smaller than the sum of its proper divisors (1153007784).

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

576720216 is a wasteful number, since it uses less digits than its factorization.

576720216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 576720216 is about 24014.9998126171. Note that the first 3 decimals coincide. The cubic root of 576720216 is about 832.3801694255.

The spelling of 576720216 in words is "five hundred seventy-six million, seven hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 29 36 46 54 58 69 72 87 92 108 116 138 174 184 207 216 232 261 276 348 414 522 552 621 667 696 783 828 1044 1242 1334 1566 1656 2001 2088 2484 2668 3132 4002 4003 4968 5336 6003 6264 8004 8006 12006 12009 16008 16012 18009 24012 24018 32024 36018 36027 48024 48036 72036 72054 92069 96072 108081 116087 144072 144108 184138 216162 232174 276207 288216 348261 368276 432324 464348 552414 696522 736552 828621 864648 928696 1044783 1104828 1393044 1657242 2089566 2209656 2485863 2670001 2786088 3134349 3314484 4179132 4971726 5340002 6268698 6628968 8010003 8358264 9943452 10680004 12537396 16020006 19886904 21360008 24030009 25074792 32040012 48060018 64080024 72090027 96120036 144180054 192240072 288360108 576720216