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103394292 = 22323419137
BaseRepresentation
bin1100010100110…
…10101111110100
321012112222022020
412022122233310
5202432104132
614132033140
72363560041
oct612325764
9235488266
10103394292
11533aa731
122a7627b0
1318561771
14da361c8
15912552c
hex629abf4

103394292 has 48 divisors (see below), whose sum is σ = 257910912. Its totient is φ = 32158720.

The previous prime is 103394287. The next prime is 103394299. The reversal of 103394292 is 292493301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103394299) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6748 + ... + 15884.

It is an arithmetic number, because the mean of its divisors is an integer number (5373144).

Almost surely, 2103394292 is an apocalyptic number.

103394292 is a gapful number since it is divisible by the number (12) 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 103394292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128955456).

103394292 is an abundant number, since it is smaller than the sum of its proper divisors (154516620).

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

103394292 is a wasteful number, since it uses less digits than its factorization.

103394292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9208 (or 9206 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 103394292 is about 10168.2983827187. The cubic root of 103394292 is about 469.3521964178.

The spelling of 103394292 in words is "one hundred three million, three hundred ninety-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 276 492 943 1886 2829 3772 5658 9137 11316 18274 27411 36548 54822 109644 210151 374617 420302 630453 749234 840604 1123851 1260906 1498468 2247702 2521812 4495404 8616191 17232382 25848573 34464764 51697146 103394292