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23804640 = 2532561271
BaseRepresentation
bin101101011001…
…1101011100000
31122210101211100
41122303223200
522043222030
62210114400
7406223166
oct132635340
948711740
1023804640
1112489862
127b7ba00
134c160b2
143239236
152153360
hex16b3ae0

23804640 has 144 divisors (see below), whose sum is σ = 82869696. Its totient is φ = 6220800.

The previous prime is 23804623. The next prime is 23804659. The reversal of 23804640 is 4640832.

It is a Cunningham number, because it is equal to 48792-1.

It is a tau number, because it is divible by the number of its divisors (144).

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 congruent number.

It is an unprimeable number.

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, 87705 + ... + 87975.

It is an arithmetic number, because the mean of its divisors is an integer number (575484).

Almost surely, 223804640 is an apocalyptic number.

23804640 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 23804640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41434848).

23804640 is an abundant number, since it is smaller than the sum of its proper divisors (59065056).

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

23804640 is a wasteful number, since it uses less digits than its factorization.

23804640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 23804640 is about 4878.9998975200. Note that the first 3 decimals coincide. The cubic root of 23804640 is about 287.6651200192.

The spelling of 23804640 in words is "twenty-three million, eight hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 72 80 90 96 120 122 144 160 180 183 240 244 271 288 305 360 366 480 488 542 549 610 720 732 813 915 976 1084 1098 1220 1355 1440 1464 1626 1830 1952 2168 2196 2439 2440 2710 2745 2928 3252 3660 4065 4336 4392 4878 4880 5420 5490 5856 6504 7320 8130 8672 8784 9756 9760 10840 10980 12195 13008 14640 16260 16531 17568 19512 21680 21960 24390 26016 29280 32520 33062 39024 43360 43920 48780 49593 65040 66124 78048 82655 87840 97560 99186 130080 132248 148779 165310 195120 198372 247965 264496 297558 330620 390240 396744 495930 528992 595116 661240 743895 793488 991860 1190232 1322480 1487790 1586976 1983720 2380464 2644960 2975580 3967440 4760928 5951160 7934880 11902320 23804640