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23358240 = 253355407
BaseRepresentation
bin101100100011…
…0101100100000
31121221201111000
41121012230200
521434430430
62152352000
7402353553
oct131065440
947851430
1023358240
1112204434
1279a5600
134abab59
14316069a
1520b5e60
hex1646b20

23358240 has 96 divisors (see below), whose sum is σ = 81768960. Its totient is φ = 6227712.

The previous prime is 23358199. The next prime is 23358241. The reversal of 23358240 is 4285332.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (23358241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1617 + ... + 7023.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

Almost surely, 223358240 is an apocalyptic number.

23358240 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 23358240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40884480).

23358240 is an abundant number, since it is smaller than the sum of its proper divisors (58410720).

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

23358240 is a wasteful number, since it uses less digits than its factorization.

23358240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5431 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 23358240 is about 4833.0363127127. The cubic root of 23358240 is about 285.8556005701.

The spelling of 23358240 in words is "twenty-three million, three hundred fifty-eight 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 5407 10814 16221 21628 27035 32442 43256 48663 54070 64884 81105 86512 97326 108140 129768 145989 162210 173024 194652 216280 243315 259536 291978 324420 389304 432560 486630 519072 583956 648840 729945 778608 865120 973260 1167912 1297680 1459890 1557216 1946520 2335824 2595360 2919780 3893040 4671648 5839560 7786080 11679120 23358240