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23159040 = 283537163
BaseRepresentation
bin101100001011…
…0000100000000
31121120121020020
41120112010000
521412042130
62144213440
7400564032
oct130260400
947517206
1023159040
1112088803
12790a280
134a4b298
14310bc52
152076e10
hex1616100

23159040 has 144 divisors (see below), whose sum is σ = 76429248. Its totient is φ = 5971968.

The previous prime is 23159033. The next prime is 23159047. The reversal of 23159040 is 4095132.

It is an interprime number because it is at equal distance from previous prime (23159033) and next prime (23159047).

It is a super-2 number, since 2×231590402 = 1072682267443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23159040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23159047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141999 + ... + 142161.

Almost surely, 223159040 is an apocalyptic number.

23159040 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 23159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38214624).

23159040 is an abundant number, since it is smaller than the sum of its proper divisors (53270208).

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

23159040 is a wasteful number, since it uses less digits than its factorization.

23159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 23159040 is about 4812.3840245766. The cubic root of 23159040 is about 285.0406836351.

The spelling of 23159040 in words is "twenty-three million, one hundred fifty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 163 185 192 222 240 256 296 320 326 370 384 444 480 489 555 592 640 652 740 768 815 888 960 978 1110 1184 1280 1304 1480 1630 1776 1920 1956 2220 2368 2445 2608 2960 3260 3552 3840 3912 4440 4736 4890 5216 5920 6031 6520 7104 7824 8880 9472 9780 10432 11840 12062 13040 14208 15648 17760 18093 19560 20864 23680 24124 26080 28416 30155 31296 35520 36186 39120 41728 47360 48248 52160 60310 62592 71040 72372 78240 90465 96496 104320 120620 125184 142080 144744 156480 180930 192992 208640 241240 289488 312960 361860 385984 482480 578976 625920 723720 771968 964960 1157952 1447440 1543936 1929920 2315904 2894880 3859840 4631808 5789760 7719680 11579520 23159040