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10027017 = 3372111353
BaseRepresentation
bin100110010000…
…000000001001
3200212102111000
4212100000021
510031331032
6554525213
7151141200
oct46200011
920772430
1010027017
1157294a0
123436809
132100c60
141490237
15d30e7c
hex990009

10027017 has 96 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 4717440.

The previous prime is 10027009. The next prime is 10027021. The reversal of 10027017 is 71072001.

It is not a de Polignac number, because 10027017 - 23 = 10027009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10027067) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189163 + ... + 189215.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 210027017 is an apocalyptic number.

It is an amenable number.

10027017 is an abundant number, since it is smaller than the sum of its proper divisors (10657143).

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

10027017 is a wasteful number, since it uses less digits than its factorization.

10027017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 10027017 is about 3166.5465415812. The cubic root of 10027017 is about 215.6373157427.

Adding to 10027017 its reverse (71072001), we get a palindrome (81099018).

The spelling of 10027017 in words is "ten million, twenty-seven thousand, seventeen".

Divisors: 1 3 7 9 11 13 21 27 33 39 49 53 63 77 91 99 117 143 147 159 189 231 273 297 351 371 429 441 477 539 583 637 689 693 819 1001 1113 1287 1323 1431 1617 1749 1911 2067 2079 2457 2597 3003 3339 3861 4081 4823 4851 5247 5733 6201 7007 7579 7791 9009 10017 12243 14469 14553 15741 17199 18603 21021 22737 23373 27027 28567 33761 36729 43407 53053 63063 68211 70119 85701 101283 110187 130221 159159 189189 204633 257103 303849 371371 477477 771309 911547 1114113 1432431 3342339 10027017