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23294640 = 2435312101
BaseRepresentation
bin101100011011…
…1001010110000
31121211111020110
41120313022300
521430412030
62151141320
7402000255
oct130671260
947744213
1023294640
1112170676
127974840
134a97c15
14314542c
1520a21b0
hex16372b0

23294640 has 120 divisors (see below), whose sum is σ = 75356784. Its totient is φ = 5952000.

The previous prime is 23294639. The next prime is 23294669. The reversal of 23294640 is 4649232.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23294598 and 23294607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230590 + ... + 230690.

Almost surely, 223294640 is an apocalyptic number.

23294640 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 23294640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37678392).

23294640 is an abundant number, since it is smaller than the sum of its proper divisors (52062144).

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

23294640 is a wasteful number, since it uses less digits than its factorization.

23294640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 23294640 is about 4826.4521130951. The cubic root of 23294640 is about 285.5959214476.

The spelling of 23294640 in words is "twenty-three million, two hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 101 120 124 155 186 202 240 248 303 310 372 404 465 496 505 606 620 744 808 930 961 1010 1212 1240 1488 1515 1616 1860 1922 2020 2424 2480 2883 3030 3131 3720 3844 4040 4805 4848 5766 6060 6262 7440 7688 8080 9393 9610 11532 12120 12524 14415 15376 15655 18786 19220 23064 24240 25048 28830 31310 37572 38440 46128 46965 50096 57660 62620 75144 76880 93930 97061 115320 125240 150288 187860 194122 230640 250480 291183 375720 388244 485305 582366 751440 776488 970610 1164732 1455915 1552976 1941220 2329464 2911830 3882440 4658928 5823660 7764880 11647320 23294640