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23414040 = 23325135003
BaseRepresentation
bin101100101010…
…0010100011000
31122001120000200
41121110110120
521443222130
62153502200
7403005336
oct131242430
948046020
1023414040
1112242351
127a11960
134b0a380
143176b56
1520c7760
hex1654518

23414040 has 96 divisors (see below), whose sum is σ = 81965520. Its totient is φ = 5762304.

The previous prime is 23413987. The next prime is 23414071. The reversal of 23414040 is 4041432.

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, 2179 + ... + 7181.

Almost surely, 223414040 is an apocalyptic number.

23414040 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 23414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40982760).

23414040 is an abundant number, since it is smaller than the sum of its proper divisors (58551480).

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

23414040 is a wasteful number, since it uses less digits than its factorization.

23414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 23414040 is about 4838.8056377581. The cubic root of 23414040 is about 286.0830443312.

Adding to 23414040 its reverse (4041432), we get a palindrome (27455472).

The spelling of 23414040 in words is "twenty-three million, four hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 5003 10006 15009 20012 25015 30018 40024 45027 50030 60036 65039 75045 90054 100060 120072 130078 150090 180108 195117 200120 225135 260156 300180 325195 360216 390234 450270 520312 585351 600360 650390 780468 900540 975585 1170702 1300780 1560936 1801080 1951170 2341404 2601560 2926755 3902340 4682808 5853510 7804680 11707020 23414040