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103149684 = 2232111012579
BaseRepresentation
bin1100010010111…
…11000001110100
321012002112202200
412021133001310
5202401242214
614122504500
72361520641
oct611370164
9235075680
10103149684
1153252980
122a665130
13184a7321
14d9b0dc8
1590c7d09
hex625f074

103149684 has 72 divisors (see below), whose sum is σ = 287370720. Its totient is φ = 30936000.

The previous prime is 103149667. The next prime is 103149691. The reversal of 103149684 is 486941301.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 38707 + ... + 41285.

It is an arithmetic number, because the mean of its divisors is an integer number (3991260).

Almost surely, 2103149684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103149684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143685360).

103149684 is an abundant number, since it is smaller than the sum of its proper divisors (184221036).

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

103149684 is a wasteful number, since it uses less digits than its factorization.

103149684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 103149684 is about 10156.2632892221. The cubic root of 103149684 is about 468.9817763645.

The spelling of 103149684 in words is "one hundred three million, one hundred forty-nine thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1111 1212 1818 2222 2579 3333 3636 4444 5158 6666 7737 9999 10316 13332 15474 19998 23211 28369 30948 39996 46422 56738 85107 92844 113476 170214 255321 260479 340428 510642 520958 781437 1021284 1041916 1562874 2344311 2865269 3125748 4688622 5730538 8595807 9377244 11461076 17191614 25787421 34383228 51574842 103149684