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27024030 = 236511337
BaseRepresentation
bin110011100010…
…1101010011110
31212211222000000
41213011222132
523404232110
62403115130
7445462155
oct147055236
955758000
1027024030
1114288610
129072aa6
1357a2567
14383659c
15258c1c0
hex19c5a9e

27024030 has 112 divisors (see below), whose sum is σ = 79797744. Its totient is φ = 6531840.

The previous prime is 27024029. The next prime is 27024031. The reversal of 27024030 is 3042072.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27024029) and next prime (27024031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27023994 and 27024012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27024031) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 80022 + ... + 80358.

Almost surely, 227024030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27024030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39898872).

27024030 is an abundant number, since it is smaller than the sum of its proper divisors (52773714).

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

27024030 is a wasteful number, since it uses less digits than its factorization.

27024030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 27024030 is about 5198.4641962795. The cubic root of 27024030 is about 300.0889736097.

The spelling of 27024030 in words is "twenty-seven million, twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 337 405 486 495 594 674 729 810 891 990 1011 1215 1458 1485 1685 1782 2022 2430 2673 2970 3033 3370 3645 3707 4455 5055 5346 6066 7290 7414 8019 8910 9099 10110 11121 13365 15165 16038 18198 18535 22242 26730 27297 30330 33363 37070 40095 45495 54594 55605 66726 80190 81891 90990 100089 111210 136485 163782 166815 200178 245673 272970 300267 333630 409455 491346 500445 600534 818910 900801 1000890 1228365 1501335 1801602 2456730 2702403 3002670 4504005 5404806 9008010 13512015 27024030