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23030040 = 23351173239
BaseRepresentation
bin101011111011…
…0100100011000
31121100001021110
41113312210120
521343430130
62141340320
7366515655
oct127664430
947301243
1023030040
1111aaa8a0
1278676a0
134a04657
1430b6c2c
15204dab0
hex15f6918

23030040 has 128 divisors (see below), whose sum is σ = 76723200. Its totient is φ = 5483520.

The previous prime is 23030023. The next prime is 23030041. The reversal of 23030040 is 4003032.

Adding to 23030040 its reverse (4003032), we get a palindrome (27033072).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 23029998 and 23030025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23030041) 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 31 ways as a sum of consecutive naturals, for example, 96241 + ... + 96479.

It is an arithmetic number, because the mean of its divisors is an integer number (599400).

Almost surely, 223030040 is an apocalyptic number.

23030040 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 23030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38361600).

23030040 is an abundant number, since it is smaller than the sum of its proper divisors (53693160).

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

23030040 is a wasteful number, since it uses less digits than its factorization.

23030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 23030040 is about 4798.9623878501. The cubic root of 23030040 is about 284.5104553738.

The spelling of 23030040 in words is "twenty-three million, thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 73 88 110 120 132 146 165 219 220 239 264 292 330 365 438 440 478 584 660 717 730 803 876 956 1095 1195 1320 1434 1460 1606 1752 1912 2190 2390 2409 2629 2868 2920 3212 3585 4015 4380 4780 4818 5258 5736 6424 7170 7887 8030 8760 9560 9636 10516 12045 13145 14340 15774 16060 17447 19272 21032 24090 26290 28680 31548 32120 34894 39435 48180 52341 52580 63096 69788 78870 87235 96360 104682 105160 139576 157740 174470 191917 209364 261705 315480 348940 383834 418728 523410 575751 697880 767668 959585 1046820 1151502 1535336 1919170 2093640 2303004 2878755 3838340 4606008 5757510 7676680 11515020 23030040