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10023024 = 2431141463
BaseRepresentation
bin100110001111…
…000001110000
3200212020000010
4212033001300
510031214044
6554454520
7151123434
oct46170160
920766003
1010023024
1157264a0
123434440
1320cc1ab
14148c9c4
15d2ebb9
hex98f070

10023024 has 80 divisors (see below), whose sum is σ = 28998144. Its totient is φ = 2956800.

The previous prime is 10023023. The next prime is 10023031. The reversal of 10023024 is 42032001.

It is a super-2 number, since 2×100230242 = 200922020209152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21417 + ... + 21879.

Almost surely, 210023024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14499072).

10023024 is an abundant number, since it is smaller than the sum of its proper divisors (18975120).

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

10023024 is a wasteful number, since it uses less digits than its factorization.

10023024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10023024 is about 3165.9159811972. The cubic root of 10023024 is about 215.6086879490.

Adding to 10023024 its reverse (42032001), we get a palindrome (52055025).

The spelling of 10023024 in words is "ten million, twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 264 328 451 463 492 528 656 902 926 984 1353 1389 1804 1852 1968 2706 2778 3608 3704 5093 5412 5556 7216 7408 10186 10824 11112 15279 18983 20372 21648 22224 30558 37966 40744 56949 61116 75932 81488 113898 122232 151864 208813 227796 244464 303728 417626 455592 626439 835252 911184 1252878 1670504 2505756 3341008 5011512 10023024