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23790240 = 253355507
BaseRepresentation
bin101101011000…
…0001010100000
31122202200002000
41122300022200
522042241430
62205524000
7406133205
oct132601240
948680060
1023790240
1112479a61
127b73600
134c0c686
143233cac
15214de60
hex16b02a0

23790240 has 96 divisors (see below), whose sum is σ = 83280960. Its totient is φ = 6342912.

The previous prime is 23790203. The next prime is 23790253. The reversal of 23790240 is 4209732.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1567 + ... + 7073.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 223790240 is an apocalyptic number.

23790240 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 23790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41640480).

23790240 is an abundant number, since it is smaller than the sum of its proper divisors (59490720).

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

23790240 is a wasteful number, since it uses less digits than its factorization.

23790240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5531 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 23790240 is about 4877.5239620119. The cubic root of 23790240 is about 287.6071031328.

Adding to 23790240 its reverse (4209732), we get a palindrome (27999972).

The spelling of 23790240 in words is "twenty-three million, seven hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 5507 11014 16521 22028 27535 33042 44056 49563 55070 66084 82605 88112 99126 110140 132168 148689 165210 176224 198252 220280 247815 264336 297378 330420 396504 440560 495630 528672 594756 660840 743445 793008 881120 991260 1189512 1321680 1486890 1586016 1982520 2379024 2643360 2973780 3965040 4758048 5947560 7930080 11895120 23790240