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10024020 = 2233519977
BaseRepresentation
bin100110001111…
…010001010100
3200212021101000
4212033101110
510031232040
6554503300
7151126356
oct46172124
920767330
1010024020
115727216
123434b30
1320cc796
14148d0d6
15d30130
hex98f454

10024020 has 96 divisors (see below), whose sum is σ = 32860800. Its totient is φ = 2529792.

The previous prime is 10024009. The next prime is 10024043. The reversal of 10024020 is 2042001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10023993 and 10024011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9772 + ... + 10748.

It is an arithmetic number, because the mean of its divisors is an integer number (342300).

Almost surely, 210024020 is an apocalyptic number.

10024020 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 10024020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16430400).

10024020 is an abundant number, since it is smaller than the sum of its proper divisors (22836780).

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

10024020 is a wasteful number, since it uses less digits than its factorization.

10024020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10024020 is about 3166.0732777370. The cubic root of 10024020 is about 215.6158294777.

Adding to 10024020 its reverse (2042001), we get a palindrome (12066021).

The spelling of 10024020 in words is "ten million, twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 977 1026 1140 1710 1954 2052 2565 2931 3420 3908 4885 5130 5862 8793 9770 10260 11724 14655 17586 18563 19540 26379 29310 35172 37126 43965 52758 55689 58620 74252 87930 92815 105516 111378 131895 167067 175860 185630 222756 263790 278445 334134 371260 501201 527580 556890 668268 835335 1002402 1113780 1670670 2004804 2506005 3341340 5012010 10024020