Search a number
-
+
23290410 = 23511136189
BaseRepresentation
bin101100011011…
…0001000101010
31121211021102210
41120312020222
521430243120
62151105550
7401652033
oct130661052
947737383
1023290410
1112168480
1279722b6
134a96010
143143a8a
1520a0ce0
hex163622a

23290410 has 128 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 5068800.

The previous prime is 23290387. The next prime is 23290429. The reversal of 23290410 is 1409232.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 261646 + ... + 261734.

It is an arithmetic number, because the mean of its divisors is an integer number (527310).

Almost surely, 223290410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23290410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

23290410 is an abundant number, since it is smaller than the sum of its proper divisors (44205270).

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

23290410 is a wasteful number, since it uses less digits than its factorization.

23290410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 23290410 is about 4826.0138831131. The cubic root of 23290410 is about 285.5786335811.

Adding to 23290410 its reverse (1409232), we get a palindrome (24699642).

The spelling of 23290410 in words is "twenty-three million, two hundred ninety thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 61 65 66 78 89 110 122 130 143 165 178 183 195 267 286 305 330 366 390 429 445 534 610 671 715 793 858 890 915 979 1157 1335 1342 1430 1586 1830 1958 2013 2145 2314 2379 2670 2937 3355 3471 3965 4026 4290 4758 4895 5429 5785 5874 6710 6942 7930 8723 9790 10065 10858 11570 11895 12727 14685 16287 17355 17446 20130 23790 25454 26169 27145 29370 32574 34710 38181 43615 52338 54290 59719 63635 70577 76362 81435 87230 119438 127270 130845 141154 162870 179157 190905 211731 261690 298595 352885 358314 381810 423462 597190 705770 776347 895785 1058655 1552694 1791570 2117310 2329041 3881735 4658082 7763470 11645205 23290410