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24128013 = 3713312851
BaseRepresentation
bin101110000001…
…0101000001101
31200101211102010
41130002220031
522134044023
62221051433
7412041030
oct134025015
950354363
1024128013
111268a808
1280b6b79
134cca340
1432c1017
1521b9093
hex1702a0d

24128013 has 32 divisors (see below), whose sum is σ = 40886272. Its totient is φ = 12312000.

The previous prime is 24128009. The next prime is 24128021. The reversal of 24128013 is 31082142.

It is not a de Polignac number, because 24128013 - 22 = 24128009 is a prime.

It is a super-2 number, since 2×241280132 = 1164322022656338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24128003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7038 + ... + 9888.

It is an arithmetic number, because the mean of its divisors is an integer number (1277696).

Almost surely, 224128013 is an apocalyptic number.

It is an amenable number.

24128013 is a deficient number, since it is larger than the sum of its proper divisors (16758259).

24128013 is a wasteful number, since it uses less digits than its factorization.

24128013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 24128013 is about 4912.0273818455. The cubic root of 24128013 is about 288.9618568530.

The spelling of 24128013 in words is "twenty-four million, one hundred twenty-eight thousand, thirteen".

Divisors: 1 3 7 13 21 31 39 91 93 217 273 403 651 1209 2821 2851 8463 8553 19957 37063 59871 88381 111189 259441 265143 618667 778323 1148953 1856001 3446859 8042671 24128013