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23390080 = 275723227
BaseRepresentation
bin101100100111…
…0011110000000
31122000100011021
41121032132000
521441440310
62153155224
7402545440
oct131163600
948010137
1023390080
111222634a
1279bbb14
134acc4ac
14316c120
1520c05da
hex164e780

23390080 has 128 divisors (see below), whose sum is σ = 66977280. Its totient is φ = 7636992.

The previous prime is 23390071. The next prime is 23390117. The reversal of 23390080 is 8009332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102927 + ... + 103153.

It is an arithmetic number, because the mean of its divisors is an integer number (523260).

Almost surely, 223390080 is an apocalyptic number.

23390080 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 23390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33488640).

23390080 is an abundant number, since it is smaller than the sum of its proper divisors (43587200).

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

23390080 is a wasteful number, since it uses less digits than its factorization.

23390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 23390080 is about 4836.3291864802. The cubic root of 23390080 is about 285.9854264176.

The spelling of 23390080 in words is "twenty-three million, three hundred ninety thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 128 140 160 161 184 224 227 230 280 320 322 368 448 454 460 560 640 644 736 805 896 908 920 1120 1135 1288 1472 1589 1610 1816 1840 2240 2270 2576 2944 3178 3220 3632 3680 4480 4540 5152 5221 6356 6440 7264 7360 7945 9080 10304 10442 12712 12880 14528 14720 15890 18160 20608 20884 25424 25760 26105 29056 31780 36320 36547 41768 50848 51520 52210 63560 72640 73094 83536 101696 103040 104420 127120 145280 146188 167072 182735 203392 208840 254240 292376 334144 365470 417680 508480 584752 668288 730940 835360 1016960 1169504 1461880 1670720 2339008 2923760 3341440 4678016 5847520 11695040 23390080