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23408640 = 212325127
BaseRepresentation
bin101100101001…
…1000000000000
31122001021121200
41121103000000
521443034030
62153421200
7402653523
oct131230000
948037550
1023408640
1112239292
127a0a800
134b07a88
143174bba
1520c5d60
hex1653000

23408640 has 156 divisors (see below), whose sum is σ = 81778944. Its totient is φ = 6193152.

The previous prime is 23408639. The next prime is 23408647. The reversal of 23408640 is 4680432.

It is not an unprimeable number, because it can be changed into a prime (23408647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184257 + ... + 184383.

It is an arithmetic number, because the mean of its divisors is an integer number (524224).

Almost surely, 223408640 is an apocalyptic number.

23408640 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 23408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40889472).

23408640 is an abundant number, since it is smaller than the sum of its proper divisors (58370304).

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

23408640 is a wasteful number, since it uses less digits than its factorization.

23408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

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

The square root of 23408640 is about 4838.2476166480. The cubic root of 23408640 is about 286.0610494481.

The spelling of 23408640 in words is "twenty-three million, four hundred eight 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 64 72 80 90 96 120 127 128 144 160 180 192 240 254 256 288 320 360 381 384 480 508 512 576 635 640 720 762 768 960 1016 1024 1143 1152 1270 1280 1440 1524 1536 1905 1920 2032 2048 2286 2304 2540 2560 2880 3048 3072 3810 3840 4064 4096 4572 4608 5080 5120 5715 5760 6096 6144 7620 7680 8128 9144 9216 10160 10240 11430 11520 12192 12288 15240 15360 16256 18288 18432 20320 20480 22860 23040 24384 30480 30720 32512 36576 36864 40640 45720 46080 48768 60960 61440 65024 73152 81280 91440 92160 97536 121920 130048 146304 162560 182880 184320 195072 243840 260096 292608 325120 365760 390144 487680 520192 585216 650240 731520 780288 975360 1170432 1300480 1463040 1560576 1950720 2340864 2600960 2926080 3901440 4681728 5852160 7802880 11704320 23408640