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10189638 = 234312029
BaseRepresentation
bin100110110111…
…101101000110
3201011200120000
4212313231012
510102032023
61002222130
7152416254
oct46675506
921150500
1010189638
11582a698
1234b4946
132159c94
1414d35d4
15d64243
hex9b7b46

10189638 has 40 divisors (see below), whose sum is σ = 23580480. Its totient is φ = 3285360.

The previous prime is 10189633. The next prime is 10189651. The reversal of 10189638 is 83698101.

10189638 is a `hidden beast` number, since 1 + 0 + 18 + 9 + 638 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10189633) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4008 + ... + 6036.

It is an arithmetic number, because the mean of its divisors is an integer number (589512).

Almost surely, 210189638 is an apocalyptic number.

10189638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10189638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11790240).

10189638 is an abundant number, since it is smaller than the sum of its proper divisors (13390842).

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

10189638 is a wasteful number, since it uses less digits than its factorization.

10189638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2065 counting only the distinct ones).

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

The square root of 10189638 is about 3192.1212382991. The cubic root of 10189638 is about 216.7968254098.

The spelling of 10189638 in words is "ten million, one hundred eighty-nine thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1674 2029 2511 4058 5022 6087 12174 18261 36522 54783 62899 109566 125798 164349 188697 328698 377394 566091 1132182 1698273 3396546 5094819 10189638