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23328630 = 232513127157
BaseRepresentation
bin101100011111…
…1011101110110
31121220012212100
41120333131312
521433004010
62152002530
7402201333
oct130773566
947805770
1023328630
1112194166
127990446
134aaa530
14315398a
1520ac2c0
hex163f776

23328630 has 96 divisors (see below), whose sum is σ = 66253824. Its totient is φ = 5660928.

The previous prime is 23328629. The next prime is 23328653. The reversal of 23328630 is 3682332.

23328630 is a `hidden beast` number, since 2 + 3 + 3 + 28 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23328594 and 23328603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148512 + ... + 148668.

It is an arithmetic number, because the mean of its divisors is an integer number (690144).

Almost surely, 223328630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23328630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33126912).

23328630 is an abundant number, since it is smaller than the sum of its proper divisors (42925194).

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

23328630 is a wasteful number, since it uses less digits than its factorization.

23328630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 23328630 is about 4829.9720496086. The cubic root of 23328630 is about 285.7347615088.

The spelling of 23328630 in words is "twenty-three million, three hundred twenty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 127 130 157 195 234 254 314 381 390 471 585 635 762 785 942 1143 1170 1270 1413 1570 1651 1905 2041 2286 2355 2826 3302 3810 4082 4710 4953 5715 6123 7065 8255 9906 10205 11430 12246 14130 14859 16510 18369 19939 20410 24765 29718 30615 36738 39878 49530 59817 61230 74295 91845 99695 119634 148590 179451 183690 199390 259207 299085 358902 518414 598170 777621 897255 1296035 1555242 1794510 2332863 2592070 3888105 4665726 7776210 11664315 23328630