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10189368 = 2333723293
BaseRepresentation
bin100110110111…
…101000111000
3201011200012000
4212313220320
510102024433
61002221000
7152415420
oct46675070
921150160
1010189368
11582a472
1234b4760
132159b17
1414d3480
15d64113
hex9b7a38

10189368 has 128 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 2775168.

The previous prime is 10189367. The next prime is 10189369. The reversal of 10189368 is 86398101.

It is an interprime number because it is at equal distance from previous prime (10189367) and next prime (10189369).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10189363) 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, 34630 + ... + 34922.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 210189368 is an apocalyptic number.

10189368 is a gapful number since it is divisible by the number (18) 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 10189368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

10189368 is an abundant number, since it is smaller than the sum of its proper divisors (23679432).

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

10189368 is a wasteful number, since it uses less digits than its factorization.

10189368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 10189368 is about 3192.0789463921. The cubic root of 10189368 is about 216.7949105344.

The spelling of 10189368 in words is "ten million, one hundred eighty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 84 92 108 126 138 161 168 184 189 207 216 252 276 293 322 378 414 483 504 552 586 621 644 756 828 879 966 1172 1242 1288 1449 1512 1656 1758 1932 2051 2344 2484 2637 2898 3516 3864 4102 4347 4968 5274 5796 6153 6739 7032 7911 8204 8694 10548 11592 12306 13478 15822 16408 17388 18459 20217 21096 24612 26956 31644 34776 36918 40434 47173 49224 53912 55377 60651 63288 73836 80868 94346 110754 121302 141519 147672 161736 181953 188692 221508 242604 283038 363906 377384 424557 443016 485208 566076 727812 849114 1132152 1273671 1455624 1698228 2547342 3396456 5094684 10189368