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103826424 = 233134371109
BaseRepresentation
bin1100011000001…
…00001111111000
321020100221002010
412030010033320
5203034421144
614145205520
72400336642
oct614041770
9236327063
10103826424
1153675369
122a9308a0
1318683370
14db09892
1591ad5b9
hex63043f8

103826424 has 128 divisors (see below), whose sum is σ = 292723200. Its totient is φ = 30481920.

The previous prime is 103826423. The next prime is 103826449. The reversal of 103826424 is 424628301.

It is a junction number, because it is equal to n+sod(n) for n = 103826391 and 103826400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103826423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 952482 + ... + 952590.

It is an arithmetic number, because the mean of its divisors is an integer number (2286900).

Almost surely, 2103826424 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 103826424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146361600).

103826424 is an abundant number, since it is smaller than the sum of its proper divisors (188896776).

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

103826424 is a wasteful number, since it uses less digits than its factorization.

103826424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 103826424 is about 10189.5252097436. The cubic root of 103826424 is about 470.0051666853.

The spelling of 103826424 in words is "one hundred three million, eight hundred twenty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 71 78 86 104 109 129 142 156 172 213 218 258 284 312 327 344 426 436 516 559 568 654 852 872 923 1032 1118 1308 1417 1677 1704 1846 2236 2616 2769 2834 3053 3354 3692 4251 4472 4687 5538 5668 6106 6708 7384 7739 8502 9159 9374 11076 11336 12212 13416 14061 15478 17004 18318 18748 22152 23217 24424 28122 30956 34008 36636 37496 39689 46434 56244 60931 61912 73272 79378 92868 100607 112488 119067 121862 158756 182793 185736 201214 238134 243724 301821 317512 332777 365586 402428 476268 487448 603642 665554 731172 804856 952536 998331 1207284 1331108 1462344 1996662 2414568 2662216 3993324 4326101 7986648 8652202 12978303 17304404 25956606 34608808 51913212 103826424