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10424040 = 23351153149
BaseRepresentation
bin100111110000…
…111011101000
3201121121002120
4213300323220
510132032130
61011231240
7154413534
oct47607350
921547076
1010424040
11597a810
1235a8520
13220c893
141554bc4
15dad910
hex9f0ee8

10424040 has 128 divisors (see below), whose sum is σ = 34992000. Its totient is φ = 2462720.

The previous prime is 10424039. The next prime is 10424041. The reversal of 10424040 is 4042401.

It is an interprime number because it is at equal distance from previous prime (10424039) and next prime (10424041).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10424041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69886 + ... + 70034.

It is an arithmetic number, because the mean of its divisors is an integer number (273375).

Almost surely, 210424040 is an apocalyptic number.

10424040 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 10424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17496000).

10424040 is an abundant number, since it is smaller than the sum of its proper divisors (24567960).

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

10424040 is a wasteful number, since it uses less digits than its factorization.

10424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 10424040 is about 3228.6281916628. The cubic root of 10424040 is about 218.4466336303.

Adding to 10424040 its reverse (4042401), we get a palindrome (14466441).

The spelling of 10424040 in words is "ten million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 53 55 60 66 88 106 110 120 132 149 159 165 212 220 264 265 298 318 330 424 440 447 530 583 596 636 660 745 795 894 1060 1166 1192 1272 1320 1490 1590 1639 1749 1788 2120 2235 2332 2915 2980 3180 3278 3498 3576 4470 4664 4917 5830 5960 6360 6556 6996 7897 8195 8745 8940 9834 11660 13112 13992 15794 16390 17490 17880 19668 23320 23691 24585 31588 32780 34980 39336 39485 47382 49170 63176 65560 69960 78970 86867 94764 98340 118455 157940 173734 189528 196680 236910 260601 315880 347468 434335 473820 521202 694936 868670 947640 1042404 1303005 1737340 2084808 2606010 3474680 5212020 10424040