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23874030 = 23253143199
BaseRepresentation
bin101101100010…
…0100111101110
31122220221000100
41123010213232
522102432110
62211411530
7406632405
oct133044756
948827010
1023874030
1112526a04
127bb3ba6
134c3b85b
14325663c
152168bc0
hex16c49ee

23874030 has 96 divisors (see below), whose sum is σ = 65894400. Its totient is φ = 5987520.

The previous prime is 23874029. The next prime is 23874049. The reversal of 23874030 is 3047832.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23873985 and 23874003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119871 + ... + 120069.

It is an arithmetic number, because the mean of its divisors is an integer number (686400).

Almost surely, 223874030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23874030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32947200).

23874030 is an abundant number, since it is smaller than the sum of its proper divisors (42020370).

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

23874030 is a wasteful number, since it uses less digits than its factorization.

23874030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23874030 is about 4886.1058113799. The cubic root of 23874030 is about 287.9443613584.

The spelling of 23874030 in words is "twenty-three million, eight hundred seventy-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 43 45 62 86 90 93 129 155 186 199 215 258 279 310 387 398 430 465 558 597 645 774 930 995 1194 1290 1333 1395 1791 1935 1990 2666 2790 2985 3582 3870 3999 5970 6169 6665 7998 8557 8955 11997 12338 13330 17114 17910 18507 19995 23994 25671 30845 37014 39990 42785 51342 55521 59985 61690 77013 85570 92535 111042 119970 128355 154026 185070 256710 265267 277605 385065 530534 555210 770130 795801 1326335 1591602 2387403 2652670 3979005 4774806 7958010 11937015 23874030