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23369040 = 2433531349
BaseRepresentation
bin101100100100…
…1010101010000
31121222021022000
41121021111100
521440302130
62152514000
7402430212
oct131112520
947867260
1023369040
1112211562
1279ab900
134ac2a46
1431645b2
1520b9260
hex1649550

23369040 has 160 divisors (see below), whose sum is σ = 83328000. Its totient is φ = 6013440.

The previous prime is 23369029. The next prime is 23369051. The reversal of 23369040 is 4096332.

It is an interprime number because it is at equal distance from previous prime (23369029) and next prime (23369051).

It is a super-2 number, since 2×233690402 = 1092224061043200, which contains 22 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 = 23368995 and 23369013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66786 + ... + 67134.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 223369040 is an apocalyptic number.

23369040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23369040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664000).

23369040 is an abundant number, since it is smaller than the sum of its proper divisors (59958960).

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

23369040 is a wasteful number, since it uses less digits than its factorization.

23369040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 23369040 is about 4834.1534936326. The cubic root of 23369040 is about 285.8996501902.

The spelling of 23369040 in words is "twenty-three million, three hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 349 360 372 432 465 496 540 558 620 698 720 744 837 930 1047 1080 1116 1240 1395 1396 1488 1674 1745 1860 2094 2160 2232 2480 2790 2792 3141 3348 3490 3720 4185 4188 4464 5235 5580 5584 6282 6696 6980 7440 8370 8376 9423 10470 10819 11160 12564 13392 13960 15705 16740 16752 18846 20940 21638 22320 25128 27920 31410 32457 33480 37692 41880 43276 47115 50256 54095 62820 64914 66960 75384 83760 86552 94230 97371 108190 125640 129828 150768 162285 173104 188460 194742 216380 251280 259656 292113 324570 376920 389484 432760 486855 519312 584226 649140 753840 778968 865520 973710 1168452 1298280 1460565 1557936 1947420 2336904 2596560 2921130 3894840 4673808 5842260 7789680 11684520 23369040