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23796630 = 23251113432
BaseRepresentation
bin101101011000…
…1101110010110
31122202222211200
41122301232112
522042443010
62210013330
7406160634
oct132615626
948688750
1023796630
1112483840
127b77246
134c12560
143236354
152150cc0
hex16b1b96

23796630 has 144 divisors (see below), whose sum is σ = 74417616. Its totient is φ = 5201280.

The previous prime is 23796611. The next prime is 23796653. The reversal of 23796630 is 3669732.

It is a super-3 number, since 3×237966303 (a number of 23 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 553389 + ... + 553431.

It is an arithmetic number, because the mean of its divisors is an integer number (516789).

Almost surely, 223796630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23796630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37208808).

23796630 is an abundant number, since it is smaller than the sum of its proper divisors (50620986).

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

23796630 is a wasteful number, since it uses less digits than its factorization.

23796630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 23796630 is about 4878.1789635068. The cubic root of 23796630 is about 287.6328510147.

It can be divided in two parts, 2379 and 6630, that added together give a palindrome (9009).

The spelling of 23796630 in words is "twenty-three million, seven hundred ninety-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 43 45 55 65 66 78 86 90 99 110 117 129 130 143 165 195 198 215 234 258 286 330 387 390 429 430 473 495 559 585 645 715 774 858 946 990 1118 1170 1287 1290 1419 1430 1677 1849 1935 2145 2365 2574 2795 2838 3354 3698 3870 4257 4290 4730 5031 5547 5590 6149 6435 7095 8385 8514 9245 10062 11094 12298 12870 14190 16641 16770 18447 18490 20339 21285 24037 25155 27735 30745 33282 36894 40678 42570 48074 50310 55341 55470 61017 61490 72111 83205 92235 101695 110682 120185 122034 144222 166410 183051 184470 203390 216333 240370 264407 276705 305085 360555 366102 432666 528814 553410 610170 721110 793221 915255 1081665 1322035 1586442 1830510 2163330 2379663 2644070 3966105 4759326 7932210 11898315 23796630