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23380240 = 2451322481
BaseRepresentation
bin101100100110…
…0000100010000
31121222211122211
41121030010100
521441131430
62153041504
7402504652
oct131140420
947884584
1023380240
1112219a14
1279b6294
134ac7b80
1431686d2
1520bc72a
hex164c110

23380240 has 40 divisors (see below), whose sum is σ = 58543128. Its totient is φ = 8632320.

The previous prime is 23380237. The next prime is 23380267. The reversal of 23380240 is 4208332.

It can be written as a sum of positive squares in 4 ways, for example, as 646416 + 22733824 = 804^2 + 4768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10201 + ... + 12280.

Almost surely, 223380240 is an apocalyptic number.

23380240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23380240 is an abundant number, since it is smaller than the sum of its proper divisors (35162888).

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

23380240 is a wasteful number, since it uses less digits than its factorization.

23380240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22507 (or 22501 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 23380240 is about 4835.3117789859. The cubic root of 23380240 is about 285.9453169452.

Adding to 23380240 its reverse (4208332), we get a palindrome (27588572).

The spelling of 23380240 in words is "twenty-three million, three hundred eighty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 22481 44962 89924 112405 179848 224810 292253 359696 449620 584506 899240 1169012 1461265 1798480 2338024 2922530 4676048 5845060 11690120 23380240