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24874140 = 2235715839
BaseRepresentation
bin101111011100…
…0110010011100
31201210201220110
41132320302130
522331433030
62245050020
7421266234
oct136706234
951721813
1024874140
111304a345
1283b6910
1351cbb35
143436cc4
1522b51b0
hex17b8c9c

24874140 has 48 divisors (see below), whose sum is σ = 70640640. Its totient is φ = 6538560.

The previous prime is 24874123. The next prime is 24874163. The reversal of 24874140 is 4147842.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 24874098 and 24874107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1341 + ... + 7179.

It is an arithmetic number, because the mean of its divisors is an integer number (1471680).

Almost surely, 224874140 is an apocalyptic number.

24874140 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 24874140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35320320).

24874140 is an abundant number, since it is smaller than the sum of its proper divisors (45766500).

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

24874140 is a wasteful number, since it uses less digits than its factorization.

24874140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 24874140 is about 4987.3981192602. The cubic root of 24874140 is about 291.9102589052.

The spelling of 24874140 in words is "twenty-four million, eight hundred seventy-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 5839 11678 17517 23356 29195 35034 58390 70068 87585 116780 175170 350340 414569 829138 1243707 1658276 2072845 2487414 4145690 4974828 6218535 8291380 12437070 24874140