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10083414 = 23112171943
BaseRepresentation
bin100110011101…
…110001010110
3200222021211210
4212131301112
510040132124
61000042250
7151464465
oct46356126
920867753
1010083414
115767900
123463386
132120823
1414a69dc
15d42a29
hex99dc56

10083414 has 96 divisors (see below), whose sum is σ = 25280640. Its totient is φ = 2661120.

The previous prime is 10083413. The next prime is 10083443. The reversal of 10083414 is 41438001.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10083413) 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 47 ways as a sum of consecutive naturals, for example, 234477 + ... + 234519.

It is an arithmetic number, because the mean of its divisors is an integer number (263340).

Almost surely, 210083414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10083414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640320).

10083414 is an abundant number, since it is smaller than the sum of its proper divisors (15197226).

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

10083414 is a wasteful number, since it uses less digits than its factorization.

10083414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10083414 is about 3175.4391822235. The cubic root of 10083414 is about 216.0408444708.

The spelling of 10083414 in words is "ten million, eighty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 43 51 57 66 86 102 114 121 129 187 209 242 258 323 363 374 418 473 561 627 646 726 731 817 946 969 1122 1254 1419 1462 1634 1938 2057 2193 2299 2451 2838 3553 4114 4386 4598 4902 5203 6171 6897 7106 8041 8987 10406 10659 12342 13794 13889 15609 16082 17974 21318 24123 26961 27778 31218 39083 41667 48246 53922 78166 83334 88451 98857 117249 152779 176902 197714 234498 265353 296571 305558 458337 530706 593142 916674 1680569 3361138 5041707 10083414