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10019214 = 234232689
BaseRepresentation
bin100110001110…
…000110001110
3200212000210000
4212032012032
510031103324
6554425130
7151106352
oct46160616
920760700
1010019214
115723647
1234321a6
1320ca53a
14148b462
15d2d9c9
hex98e18e

10019214 has 40 divisors (see below), whose sum is σ = 23435280. Its totient is φ = 3193344.

The previous prime is 10019197. The next prime is 10019249. The reversal of 10019214 is 41291001.

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

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 19 ways as a sum of consecutive naturals, for example, 2382 + ... + 5070.

It is an arithmetic number, because the mean of its divisors is an integer number (585882).

Almost surely, 210019214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10019214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11717640).

10019214 is an abundant number, since it is smaller than the sum of its proper divisors (13416066).

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

10019214 is a wasteful number, since it uses less digits than its factorization.

10019214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2717 counting only the distinct ones).

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

The square root of 10019214 is about 3165.3142024134. The cubic root of 10019214 is about 215.5813650835.

The spelling of 10019214 in words is "ten million, nineteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1242 1863 2689 3726 5378 8067 16134 24201 48402 61847 72603 123694 145206 185541 217809 371082 435618 556623 1113246 1669869 3339738 5009607 10019214