Search a number
-
+
23509440 = 26345907
BaseRepresentation
bin101100110101…
…1100111000000
31122020101220000
41121223213000
522004300230
62155520000
7403553433
oct131534700
948211800
1023509440
11122a7a99
127a59000
134b41916
14319d81a
1520e5b60
hex166b9c0

23509440 has 140 divisors (see below), whose sum is σ = 83719416. Its totient is φ = 6262272.

The previous prime is 23509411. The next prime is 23509469. The reversal of 23509440 is 4490532.

It is an interprime number because it is at equal distance from previous prime (23509411) and next prime (23509469).

It is a super-2 number, since 2×235094402 = 1105387538227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25467 + ... + 26373.

Almost surely, 223509440 is an apocalyptic number.

23509440 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 23509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41859708).

23509440 is an abundant number, since it is smaller than the sum of its proper divisors (60209976).

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

23509440 is an equidigital number, since it uses as much as digits as its factorization.

23509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 23509440 is about 4848.6534213119. The cubic root of 23509440 is about 286.4710642085.

Adding to 23509440 its reverse (4490532), we get a palindrome (27999972).

The spelling of 23509440 in words is "twenty-three million, five hundred nine thousand, four 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 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 907 960 1080 1296 1440 1620 1728 1814 2160 2592 2721 2880 3240 3628 4320 4535 5184 5442 6480 7256 8163 8640 9070 10884 12960 13605 14512 16326 18140 21768 24489 25920 27210 29024 32652 36280 40815 43536 48978 54420 58048 65304 72560 73467 81630 87072 97956 108840 122445 130608 145120 146934 163260 174144 195912 217680 244890 261216 290240 293868 326520 367335 391824 435360 489780 522432 587736 653040 734670 783648 870720 979560 1175472 1306080 1469340 1567296 1959120 2350944 2612160 2938680 3918240 4701888 5877360 7836480 11754720 23509440