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23058630 = 23257172153
BaseRepresentation
bin101011111110…
…1100011000110
31121101111111100
41113331203012
521400334010
62142120530
7366665220
oct127754306
947344440
1023058630
111201a321
127880146
134a1467a
1430c3410
1520572c0
hex15fd8c6

23058630 has 96 divisors (see below), whose sum is σ = 72581184. Its totient is φ = 4958208.

The previous prime is 23058611. The next prime is 23058641. The reversal of 23058630 is 3685032.

23058630 is a `hidden beast` number, since 23 + 0 + 5 + 8 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23058594 and 23058603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9634 + ... + 11786.

It is an arithmetic number, because the mean of its divisors is an integer number (756054).

Almost surely, 223058630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23058630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36290592).

23058630 is an abundant number, since it is smaller than the sum of its proper divisors (49522554).

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

23058630 is a wasteful number, since it uses less digits than its factorization.

23058630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 23058630 is about 4801.9402328642. The cubic root of 23058630 is about 284.6281392085.

The spelling of 23058630 in words is "twenty-three million, fifty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 2142 2153 3570 4306 5355 6459 10710 10765 12918 15071 19377 21530 30142 32295 36601 38754 45213 64590 73202 75355 90426 96885 109803 135639 150710 183005 193770 219606 226065 256207 271278 329409 366010 452130 512414 549015 658818 678195 768621 1098030 1281035 1356390 1537242 1647045 2305863 2562070 3294090 3843105 4611726 7686210 11529315 23058630