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23830940 = 22571721931
BaseRepresentation
bin101101011101…
…0000110011100
31122211201220102
41122322012130
522100042230
62210440232
7406362650
oct132720634
948751812
1023830940
11124a75a1
127b93078
134c25063
143244a60
15215b045
hex16ba19c

23830940 has 144 divisors (see below), whose sum is σ = 66017280. Its totient is φ = 7050240.

The previous prime is 23830913. The next prime is 23830943. The reversal of 23830940 is 4903832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23830943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768725 + ... + 768755.

Almost surely, 223830940 is an apocalyptic number.

23830940 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 23830940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33008640).

23830940 is an abundant number, since it is smaller than the sum of its proper divisors (42186340).

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

23830940 is a wasteful number, since it uses less digits than its factorization.

23830940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 23830940 is about 4881.6943779798. The cubic root of 23830940 is about 287.7710210556.

The spelling of 23830940 in words is "twenty-three million, eight hundred thirty thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 31 34 35 38 62 68 70 76 85 95 119 124 133 140 155 170 190 217 238 266 289 310 323 340 380 434 476 527 532 578 589 595 620 646 665 868 1054 1085 1156 1178 1190 1292 1330 1445 1615 2023 2108 2170 2261 2356 2380 2635 2660 2890 2945 3230 3689 4046 4123 4340 4522 5270 5491 5780 5890 6460 7378 8092 8246 8959 9044 10013 10115 10540 10982 11305 11780 14756 16492 17918 18445 20026 20230 20615 21964 22610 27455 35836 36890 38437 40052 40460 41230 44795 45220 50065 54910 62713 70091 73780 76874 82460 89590 100130 109820 125426 140182 153748 170221 179180 192185 200260 250852 280364 313565 340442 350455 384370 627130 680884 700910 768740 851105 1191547 1254260 1401820 1702210 2383094 3404420 4766188 5957735 11915470 23830940