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23063940 = 2234523619
BaseRepresentation
bin101011111111…
…0110110000100
31121101202210000
41113332312010
521401021230
62142201300
7400016544
oct127766604
947352700
1023063940
1112023309
127883230
134a16c03
1430c5324
152058b60
hex15fed84

23063940 has 120 divisors (see below), whose sum is σ = 75620160. Its totient is φ = 5873472.

The previous prime is 23063933. The next prime is 23063947. The reversal of 23063940 is 4936032.

23063940 is a `hidden beast` number, since 23 + 0 + 639 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23063933) and next prime (23063947).

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 (23063947) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36951 + ... + 37569.

It is an arithmetic number, because the mean of its divisors is an integer number (630168).

Almost surely, 223063940 is an apocalyptic number.

23063940 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 23063940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37810080).

23063940 is an abundant number, since it is smaller than the sum of its proper divisors (52556220).

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

23063940 is a wasteful number, since it uses less digits than its factorization.

23063940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 23063940 is about 4802.4931025458. The cubic root of 23063940 is about 284.6499858291.

Adding to 23063940 its reverse (4936032), we get a palindrome (27999972).

The spelling of 23063940 in words is "twenty-three million, sixty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 405 414 460 540 619 621 690 810 828 1035 1238 1242 1380 1620 1857 1863 2070 2476 2484 3095 3105 3714 3726 4140 5571 6190 6210 7428 7452 9285 9315 11142 12380 12420 14237 16713 18570 18630 22284 27855 28474 33426 37140 37260 42711 50139 55710 56948 66852 71185 83565 85422 100278 111420 128133 142370 167130 170844 200556 213555 250695 256266 284740 334260 384399 427110 501390 512532 640665 768798 854220 1002780 1153197 1281330 1537596 1921995 2306394 2562660 3843990 4612788 5765985 7687980 11531970 23063940