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10082394 = 234717523
BaseRepresentation
bin100110011101…
…100001011010
3200222020110000
4212131201122
510040114034
61000033430
7151461510
oct46354132
920866400
1010082394
115767063
123462876
13212021a
1414a64b0
15d42599
hex99d85a

10082394 has 80 divisors (see below), whose sum is σ = 27390528. Its totient is φ = 2706048.

The previous prime is 10082363. The next prime is 10082399. The reversal of 10082394 is 49328001.

10082394 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10082399) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19017 + ... + 19539.

Almost surely, 210082394 is an apocalyptic number.

10082394 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 10082394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13695264).

10082394 is an abundant number, since it is smaller than the sum of its proper divisors (17308134).

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

10082394 is a wasteful number, since it uses less digits than its factorization.

10082394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10082394 is about 3175.2785704565. The cubic root of 10082394 is about 216.0335596004.

The spelling of 10082394 in words is "ten million, eighty-two thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 378 459 523 567 714 918 1046 1071 1134 1377 1569 2142 2754 3138 3213 3661 4707 6426 7322 8891 9414 9639 10983 14121 17782 19278 21966 26673 28242 32949 42363 53346 62237 65898 80019 84726 98847 124474 160038 186711 197694 240057 296541 373422 480114 560133 593082 720171 1120266 1440342 1680399 3360798 5041197 10082394