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23414720 = 265710453
BaseRepresentation
bin101100101010…
…0011111000000
31122001120221212
41121110133000
521443232340
62153505252
7403010330
oct131243700
948046855
1023414720
111224290a
127a12228
134b0a784
1431770c0
1520c7a65
hex16547c0

23414720 has 56 divisors (see below), whose sum is σ = 63727584. Its totient is φ = 8027136.

The previous prime is 23414717. The next prime is 23414723. The reversal of 23414720 is 2741432.

It is an interprime number because it is at equal distance from previous prime (23414717) and next prime (23414723).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×234147202 = 1096498225356800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23414723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2987 + ... + 7466.

Almost surely, 223414720 is an apocalyptic number.

23414720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23414720 is an abundant number, since it is smaller than the sum of its proper divisors (40312864).

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

23414720 is a wasteful number, since it uses less digits than its factorization.

23414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10477 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 23414720 is about 4838.8759025212. The cubic root of 23414720 is about 286.0858138175.

The spelling of 23414720 in words is "twenty-three million, four hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 10453 20906 41812 52265 73171 83624 104530 146342 167248 209060 292684 334496 365855 418120 585368 668992 731710 836240 1170736 1463420 1672480 2341472 2926840 3344960 4682944 5853680 11707360 23414720