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23053140 = 22335113881
BaseRepresentation
bin101011111110…
…0001101010100
31121101012222000
41113330031110
521400200030
62142035300
7366643215
oct127741524
947335860
1023053140
1112016190
127878b30
134a12016
1430c140c
152055860
hex15fc354

23053140 has 96 divisors (see below), whose sum is σ = 78261120. Its totient is φ = 5587200.

The previous prime is 23053103. The next prime is 23053141. The reversal of 23053140 is 4135032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23053141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4000 + ... + 7880.

It is an arithmetic number, because the mean of its divisors is an integer number (815220).

Almost surely, 223053140 is an apocalyptic number.

23053140 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 23053140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39130560).

23053140 is an abundant number, since it is smaller than the sum of its proper divisors (55207980).

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

23053140 is a wasteful number, since it uses less digits than its factorization.

23053140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23053140 is about 4801.3685549018. The cubic root of 23053140 is about 284.6055484979.

Adding to 23053140 its reverse (4135032), we get a palindrome (27188172).

It can be divided in two parts, 2305 and 3140, that added together give a palindrome (5445).

The spelling of 23053140 in words is "twenty-three million, fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 3881 5940 7762 11643 15524 19405 23286 34929 38810 42691 46572 58215 69858 77620 85382 104787 116430 128073 139716 170764 174645 209574 213455 232860 256146 349290 384219 419148 426910 512292 523935 640365 698580 768438 853820 1047870 1152657 1280730 1536876 1921095 2095740 2305314 2561460 3842190 4610628 5763285 7684380 11526570 23053140