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24113970 = 2335314367
BaseRepresentation
bin101101111111…
…1001100110010
31200101010011000
41123333030302
522133121340
62220502430
7411652056
oct133771462
950333130
1024113970
1112680201
1280aaa16
134cc3b2a
1432b9c66
1521b4d30
hex16ff332

24113970 has 128 divisors (see below), whose sum is σ = 68935680. Its totient is φ = 5987520.

The previous prime is 24113963. The next prime is 24113977. The reversal of 24113970 is 7931142.

It is an interprime number because it is at equal distance from previous prime (24113963) and next prime (24113977).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24113977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 359877 + ... + 359943.

It is an arithmetic number, because the mean of its divisors is an integer number (538560).

Almost surely, 224113970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24113970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34467840).

24113970 is an abundant number, since it is smaller than the sum of its proper divisors (44821710).

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

24113970 is a wasteful number, since it uses less digits than its factorization.

24113970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 24113970 is about 4910.5977232919. The cubic root of 24113970 is about 288.9057853913.

The spelling of 24113970 in words is "twenty-four million, one hundred thirteen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 43 45 54 62 67 86 90 93 129 134 135 155 186 201 215 258 270 279 310 335 387 402 430 465 558 603 645 670 774 837 930 1005 1161 1206 1290 1333 1395 1674 1809 1935 2010 2077 2322 2666 2790 2881 3015 3618 3870 3999 4154 4185 5762 5805 6030 6231 6665 7998 8370 8643 9045 10385 11610 11997 12462 13330 14405 17286 18090 18693 19995 20770 23994 25929 28810 31155 35991 37386 39990 43215 51858 56079 59985 62310 71982 77787 86430 89311 93465 112158 119970 129645 155574 178622 179955 186930 259290 267933 280395 359910 388935 446555 535866 560790 777870 803799 893110 1339665 1607598 2411397 2679330 4018995 4822794 8037990 12056985 24113970