Search a number
-
+
23965830 = 23257109349
BaseRepresentation
bin101101101101…
…1000010000110
31200002120221100
41123123002012
522113401310
62213400530
7410464140
oct133330206
950076840
1023965830
1112589979
128039146
134c71585
14327bc90
152185ec0
hex16db086

23965830 has 96 divisors (see below), whose sum is σ = 72072000. Its totient is φ = 5412096.

The previous prime is 23965819. The next prime is 23965841. The reversal of 23965830 is 3856932.

It is an interprime number because it is at equal distance from previous prime (23965819) and next prime (23965841).

It is a super-2 number, since 2×239658302 = 1148722015177800, which contains 22 as substring.

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, 68496 + ... + 68844.

It is an arithmetic number, because the mean of its divisors is an integer number (750750).

Almost surely, 223965830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23965830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36036000).

23965830 is an abundant number, since it is smaller than the sum of its proper divisors (48106170).

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

23965830 is a wasteful number, since it uses less digits than its factorization.

23965830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 23965830 is about 4895.4907823425. The cubic root of 23965830 is about 288.3129555209.

The spelling of 23965830 in words is "twenty-three million, nine hundred sixty-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 109 126 210 218 315 327 349 545 630 654 698 763 981 1047 1090 1526 1635 1745 1962 2094 2289 2443 3141 3270 3490 3815 4578 4886 4905 5235 6282 6867 7329 7630 9810 10470 11445 12215 13734 14658 15705 21987 22890 24430 31410 34335 36645 38041 43974 68670 73290 76082 109935 114123 190205 219870 228246 266287 342369 380410 532574 570615 684738 798861 1141230 1331435 1597722 1711845 2396583 2662870 3423690 3994305 4793166 7988610 11982915 23965830