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23876640 = 253355527
BaseRepresentation
bin101101100010…
…1010000100000
31122221001121000
41123011100200
522103023030
62211432000
7406643124
oct133052040
948831530
1023876640
1112528967
127bb5600
134c3cab8
143257584
152169860
hex16c5420

23876640 has 96 divisors (see below), whose sum is σ = 83583360. Its totient is φ = 6365952.

The previous prime is 23876639. The next prime is 23876663. The reversal of 23876640 is 4667832.

23876640 is a `hidden beast` number, since 2 + 3 + 8 + 7 + 6 + 640 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23876595 and 23876604.

It is a congruent number.

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, 1557 + ... + 7083.

It is an arithmetic number, because the mean of its divisors is an integer number (870660).

Almost surely, 223876640 is an apocalyptic number.

23876640 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 23876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41791680).

23876640 is an abundant number, since it is smaller than the sum of its proper divisors (59706720).

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

23876640 is a wasteful number, since it uses less digits than its factorization.

23876640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5551 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 23876640 is about 4886.3728879405. The cubic root of 23876640 is about 287.9548540345.

The spelling of 23876640 in words is "twenty-three million, eight hundred seventy-six thousand, six 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 5527 11054 16581 22108 27635 33162 44216 49743 55270 66324 82905 88432 99486 110540 132648 149229 165810 176864 198972 221080 248715 265296 298458 331620 397944 442160 497430 530592 596916 663240 746145 795888 884320 994860 1193832 1326480 1492290 1591776 1989720 2387664 2652960 2984580 3979440 4775328 5969160 7958880 11938320 23876640