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103992434 = 271317192961
BaseRepresentation
bin1100011001011…
…00110001110010
321020200100210122
412030230301302
5203110224214
614152530242
72401630640
oct614546162
9236610718
10103992434
1153779067
122a9b0982
1318710ab0
14db50190
1591e288e
hex632cc72

103992434 has 128 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 34836480.

The previous prime is 103992419. The next prime is 103992437. The reversal of 103992434 is 434299301.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103992394 and 103992403.

It is not an unprimeable number, because it can be changed into a prime (103992437) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1704764 + ... + 1704824.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 2103992434 is an apocalyptic number.

103992434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

103992434 is an abundant number, since it is smaller than the sum of its proper divisors (120993166).

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

103992434 is a wasteful number, since it uses less digits than its factorization.

103992434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148.

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 103992434 is about 10197.6680667690. The cubic root of 103992434 is about 470.2555332944.

The spelling of 103992434 in words is "one hundred three million, nine hundred ninety-two thousand, four hundred thirty-four".

Divisors: 1 2 7 13 14 17 19 26 29 34 38 58 61 91 119 122 133 182 203 221 238 247 266 323 377 406 427 442 493 494 551 646 754 793 854 986 1037 1102 1159 1547 1586 1729 1769 2074 2261 2318 2639 3094 3451 3458 3538 3857 4199 4522 5278 5551 6409 6902 7163 7259 7714 8113 8398 9367 11102 12383 12818 13481 14326 14518 15067 16226 18734 19703 22997 24766 26962 29393 30073 30134 33611 39406 44863 45994 50141 58786 60146 65569 67222 89726 94367 100282 105469 121771 131138 137921 160979 188734 210511 210938 235277 243542 256139 275842 321958 390949 421022 436943 470554 512278 571387 781898 852397 873886 1142774 1704794 1792973 2736643 3058601 3585946 3999709 5473286 6117202 7428031 7999418 14856062 51996217 103992434