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10124190 = 234529431
BaseRepresentation
bin100110100111…
…101110011110
3201001100210000
4212213232132
510042433230
61000555130
7152024406
oct46475636
921040700
1010124190
1157954aa
123482aa6
13213625b
1414b7806
15d4eb60
hex9a7b9e

10124190 has 80 divisors (see below), whose sum is σ = 28226880. Its totient is φ = 2600640.

The previous prime is 10124189. The next prime is 10124203. The reversal of 10124190 is 9142101.

It is a super-2 number, since 2×101241902 = 204998446312200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23275 + ... + 23705.

It is an arithmetic number, because the mean of its divisors is an integer number (352836).

Almost surely, 210124190 is an apocalyptic number.

10124190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10124190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14113440).

10124190 is an abundant number, since it is smaller than the sum of its proper divisors (18102690).

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

10124190 is a wasteful number, since it uses less digits than its factorization.

10124190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10124190 is about 3181.8532335732. The cubic root of 10124190 is about 216.3316663940.

Adding to 10124190 its reverse (9142101), we get a palindrome (19266291).

The spelling of 10124190 in words is "ten million, one hundred twenty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 431 435 522 783 810 862 870 1293 1305 1566 2155 2349 2586 2610 3879 3915 4310 4698 6465 7758 7830 11637 11745 12499 12930 19395 23274 23490 24998 34911 37497 38790 58185 62495 69822 74994 112491 116370 124990 174555 187485 224982 337473 349110 374970 562455 674946 1012419 1124910 1687365 2024838 3374730 5062095 10124190