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10084074 = 23711132373
BaseRepresentation
bin100110011101…
…111011101010
3200222022202020
4212131323222
510040142244
61000045310
7151466430
oct46357352
920868666
1010084074
115768350
123463836
132120c10
1414a6d50
15d42d19
hex99deea

10084074 has 128 divisors (see below), whose sum is σ = 28643328. Its totient is φ = 2280960.

The previous prime is 10084049. The next prime is 10084133. The reversal of 10084074 is 47048001.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138102 + ... + 138174.

It is an arithmetic number, because the mean of its divisors is an integer number (223776).

Almost surely, 210084074 is an apocalyptic number.

10084074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10084074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14321664).

10084074 is an abundant number, since it is smaller than the sum of its proper divisors (18559254).

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

10084074 is a wasteful number, since it uses less digits than its factorization.

10084074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132.

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 10084074 is about 3175.5431031557. The cubic root of 10084074 is about 216.0455579487.

The spelling of 10084074 in words is "ten million, eighty-four thousand, seventy-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 23 26 33 39 42 46 66 69 73 77 78 91 138 143 146 154 161 182 219 231 253 273 286 299 322 429 438 462 483 506 511 546 598 759 803 858 897 949 966 1001 1022 1518 1533 1606 1679 1771 1794 1898 2002 2093 2409 2847 3003 3066 3289 3358 3542 4186 4818 5037 5313 5621 5694 6006 6279 6578 6643 9867 10074 10439 10626 11242 11753 12558 13286 16863 18469 19734 19929 20878 21827 23023 23506 31317 33726 35259 36938 39858 43654 46046 55407 62634 65481 69069 70518 73073 110814 129283 130962 138138 146146 152789 219219 240097 258566 305578 387849 438438 458367 480194 720291 775698 916734 1440582 1680679 3361358 5042037 10084074