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23086320 = 24352931107
BaseRepresentation
bin101100000010…
…0010011110000
31121102220110220
41120010103300
521402230240
62142453040
7400142025
oct130042360
947386426
1023086320
1112039104
127894180
134a2415a
1430cd54c
1520605d0
hex16044f0

23086320 has 160 divisors (see below), whose sum is σ = 77137920. Its totient is φ = 5698560.

The previous prime is 23086307. The next prime is 23086337. The reversal of 23086320 is 2368032.

It is a super-2 number, since 2×230863202 = 1065956342284800, which contains 22 as substring.

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

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, 215707 + ... + 215813.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 223086320 is an apocalyptic number.

23086320 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 23086320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960).

23086320 is an abundant number, since it is smaller than the sum of its proper divisors (54051600).

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

23086320 is a wasteful number, since it uses less digits than its factorization.

23086320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23086320 is about 4804.8225773695. The cubic root of 23086320 is about 284.7420257158.

The spelling of 23086320 in words is "twenty-three million, eighty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 31 40 48 58 60 62 80 87 93 107 116 120 124 145 155 174 186 214 232 240 248 290 310 321 348 372 428 435 464 465 496 535 580 620 642 696 744 856 870 899 930 1070 1160 1240 1284 1392 1488 1605 1712 1740 1798 1860 2140 2320 2480 2568 2697 3103 3210 3317 3480 3596 3720 4280 4495 5136 5394 6206 6420 6634 6960 7192 7440 8560 8990 9309 9951 10788 12412 12840 13268 13485 14384 15515 16585 17980 18618 19902 21576 24824 25680 26536 26970 31030 33170 35960 37236 39804 43152 46545 49648 49755 53072 53940 62060 66340 71920 74472 79608 93090 96193 99510 107880 124120 132680 148944 159216 186180 192386 199020 215760 248240 265360 288579 372360 384772 398040 480965 577158 744720 769544 796080 961930 1154316 1442895 1539088 1923860 2308632 2885790 3847720 4617264 5771580 7695440 11543160 23086320