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23030640 = 24325291103
BaseRepresentation
bin101011111011…
…0101101110000
31121100002002200
41113312231300
521343440030
62141343200
7366520503
oct127665560
947302080
1023030640
1112000296
127867b00
134a049c9
1430b713a
15204dd60
hex15f6b70

23030640 has 120 divisors (see below), whose sum is σ = 80084160. Its totient is φ = 5924352.

The previous prime is 23030639. The next prime is 23030653. The reversal of 23030640 is 4603032.

23030640 is a `hidden beast` number, since 23 + 0 + 3 + 0 + 640 = 666.

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 (18).

It is a congruent number.

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, 20329 + ... + 21431.

It is an arithmetic number, because the mean of its divisors is an integer number (667368).

Almost surely, 223030640 is an apocalyptic number.

23030640 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 23030640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40042080).

23030640 is an abundant number, since it is smaller than the sum of its proper divisors (57053520).

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

23030640 is a wasteful number, since it uses less digits than its factorization.

23030640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23030640 is about 4799.0249009564. The cubic root of 23030640 is about 284.5129261292.

Adding to 23030640 its reverse (4603032), we get a palindrome (27633672).

The spelling of 23030640 in words is "twenty-three million, thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1103 1160 1305 1392 1740 2088 2206 2320 2610 3309 3480 4176 4412 5220 5515 6618 6960 8824 9927 10440 11030 13236 16545 17648 19854 20880 22060 26472 31987 33090 39708 44120 49635 52944 63974 66180 79416 88240 95961 99270 127948 132360 158832 159935 191922 198540 255896 264720 287883 319870 383844 397080 479805 511792 575766 639740 767688 794160 959610 1151532 1279480 1439415 1535376 1919220 2303064 2558960 2878830 3838440 4606128 5757660 7676880 11515320 23030640