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23019040 = 2551122941
BaseRepresentation
bin101011111001…
…1111000100000
31121022111012001
41113303320200
521343102130
62141213344
7366441622
oct127637040
947274161
1023019040
1111aa2600
127861254
1349cc645
1430b2c12
15204a6ca
hex15f3e20

23019040 has 144 divisors (see below), whose sum is σ = 63345240. Its totient is φ = 7884800.

The previous prime is 23018987. The next prime is 23019041. The reversal of 23019040 is 4091032.

It can be written as a sum of positive squares in 4 ways, for example, as 12702096 + 10316944 = 3564^2 + 3212^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23018999 and 23019017.

It is not an unprimeable number, because it can be changed into a prime (23019041) 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 23 ways as a sum of consecutive naturals, for example, 561420 + ... + 561460.

Almost surely, 223019040 is an apocalyptic number.

23019040 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 23019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31672620).

23019040 is an abundant number, since it is smaller than the sum of its proper divisors (40326200).

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

23019040 is a wasteful number, since it uses less digits than its factorization.

23019040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 23019040 is about 4797.8161698840. The cubic root of 23019040 is about 284.4651505832.

The spelling of 23019040 in words is "twenty-three million, nineteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 41 44 55 58 80 82 88 110 116 121 145 160 164 176 205 220 232 242 290 319 328 352 410 440 451 464 484 580 605 638 656 820 880 902 928 968 1160 1189 1210 1276 1312 1595 1640 1760 1804 1936 2255 2320 2378 2420 2552 3190 3280 3509 3608 3872 4510 4640 4756 4840 4961 5104 5945 6380 6560 7018 7216 9020 9512 9680 9922 10208 11890 12760 13079 14036 14432 17545 18040 19024 19360 19844 23780 24805 25520 26158 28072 35090 36080 38048 39688 47560 49610 51040 52316 56144 65395 70180 72160 79376 95120 99220 104632 112288 130790 140360 143869 158752 190240 198440 209264 261580 280720 287738 396880 418528 523160 561440 575476 719345 793760 1046320 1150952 1438690 2092640 2301904 2877380 4603808 5754760 11509520 23019040