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10024740 = 22325116183
BaseRepresentation
bin100110001111…
…011100100100
3200212022100200
4212033130210
510031242430
6554510500
7151131435
oct46173444
920768320
1010024740
115727810
123435430
1320ccbcb
14148d48c
15d30460
hex98f724

10024740 has 144 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 2361600.

The previous prime is 10024733. The next prime is 10024753. The reversal of 10024740 is 4742001.

It is a happy number.

10024740 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 120739 + ... + 120821.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 210024740 is an apocalyptic number.

10024740 is a gapful number since it is divisible by the number (10) 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 10024740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

10024740 is an abundant number, since it is smaller than the sum of its proper divisors (24098076).

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

10024740 is a wasteful number, since it uses less digits than its factorization.

10024740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10024740 is about 3166.1869812126. The cubic root of 10024740 is about 215.6209917339.

Adding to 10024740 its reverse (4742001), we get a palindrome (14766741).

The spelling of 10024740 in words is "ten million, twenty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 61 66 83 90 99 110 122 132 165 166 180 183 198 220 244 249 305 330 332 366 396 415 495 498 549 610 660 671 732 747 830 913 915 990 996 1098 1220 1245 1342 1494 1660 1826 1830 1980 2013 2196 2490 2684 2739 2745 2988 3355 3652 3660 3735 4026 4565 4980 5063 5478 5490 6039 6710 7470 8052 8217 9130 10065 10126 10956 10980 12078 13420 13695 14940 15189 16434 18260 20130 20252 24156 25315 27390 30195 30378 32868 40260 41085 45567 50630 54780 55693 60390 60756 75945 82170 91134 101260 111386 120780 151890 164340 167079 182268 222772 227835 278465 303780 334158 455670 501237 556930 668316 835395 911340 1002474 1113860 1670790 2004948 2506185 3341580 5012370 10024740