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23073930 = 23351117457
BaseRepresentation
bin101100000000…
…1010010001010
31121102021111000
41120001102022
521401331210
62142315430
7400060635
oct130012212
947367430
1023073930
111202a870
127888b76
134a1b619
1430c8c1c
15205bac0
hex160148a

23073930 has 128 divisors (see below), whose sum is σ = 71228160. Its totient is φ = 5253120.

The previous prime is 23073901. The next prime is 23073931. The reversal of 23073930 is 3937032.

It is a super-3 number, since 3×230739303 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23073894 and 23073903.

It is not an unprimeable number, because it can be changed into a prime (23073931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50262 + ... + 50718.

It is an arithmetic number, because the mean of its divisors is an integer number (556470).

Almost surely, 223073930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23073930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35614080).

23073930 is an abundant number, since it is smaller than the sum of its proper divisors (48154230).

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

23073930 is a wasteful number, since it uses less digits than its factorization.

23073930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 23073930 is about 4803.5330747274. The cubic root of 23073930 is about 284.6910780115.

The spelling of 23073930 in words is "twenty-three million, seventy-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 85 90 99 102 110 135 153 165 170 187 198 255 270 297 306 330 374 457 459 495 510 561 594 765 914 918 935 990 1122 1371 1485 1530 1683 1870 2285 2295 2742 2805 2970 3366 4113 4570 4590 5027 5049 5610 6855 7769 8226 8415 10054 10098 12339 13710 15081 15538 16830 20565 23307 24678 25135 25245 30162 38845 41130 45243 46614 50270 50490 61695 69921 75405 77690 85459 90486 116535 123390 135729 139842 150810 170918 209763 226215 233070 256377 271458 349605 419526 427295 452430 512754 678645 699210 769131 854590 1048815 1281885 1357290 1538262 2097630 2307393 2563770 3845655 4614786 7691310 11536965 23073930