Search a number
-
+
15240119382 = 234298533803
BaseRepresentation
bin11100011000110000…
…11100010001010110
31110100002222021120000
432030120130101112
5222202432310012
611000132352130
71046443606635
oct161430342126
943302867500
1015240119382
116510717294
122b53a75646
13158b50c327
14a4808b51c
155e2e45ddc
hex38c61c456

15240119382 has 80 divisors (see below), whose sum is σ = 35377428240. Its totient is φ = 4897827648.

The previous prime is 15240119351. The next prime is 15240119429. The reversal of 15240119382 is 28391104251.

It is a super-2 number, since 2×152401193822 (a number of 21 digits) contains 22 as substring.

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, 4005493 + ... + 4009295.

It is an arithmetic number, because the mean of its divisors is an integer number (442217853).

Almost surely, 215240119382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15240119382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17688714120).

15240119382 is an abundant number, since it is smaller than the sum of its proper divisors (20137308858).

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

15240119382 is a wasteful number, since it uses less digits than its factorization.

15240119382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4699 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 15240119382 in words is "fifteen billion, two hundred forty million, one hundred nineteen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 853 1566 1706 2349 2559 3803 4698 5118 7606 7677 11409 15354 22818 23031 24737 34227 46062 49474 68454 69093 74211 102681 110287 138186 148422 205362 220574 222633 308043 330861 445266 616086 661722 667899 992583 1335798 1985166 2003697 2977749 3243959 4007394 5955498 6487918 8933247 9731877 17866494 19463754 29195631 58391262 87586893 94074811 175173786 188149622 262760679 282224433 525521358 564448866 846673299 1693346598 2540019897 5080039794 7620059691 15240119382