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27119430 = 23251321783
BaseRepresentation
bin110011101110…
…0111101000110
31220000210212100
41213130331012
523420310210
62405132530
7446340252
oct147347506
956023770
1027119430
1114343258
1290ba146
135806b00
14385d262
1525aa5c0
hex19dcf46

27119430 has 72 divisors (see below), whose sum is σ = 76394448. Its totient is φ = 6671808.

The previous prime is 27119413. The next prime is 27119431. The reversal of 27119430 is 3491172.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27119394 and 27119403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27119431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14319 + ... + 16101.

It is an arithmetic number, because the mean of its divisors is an integer number (1061034).

Almost surely, 227119430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27119430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38197224).

27119430 is an abundant number, since it is smaller than the sum of its proper divisors (49275018).

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

27119430 is a wasteful number, since it uses less digits than its factorization.

27119430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 27119430 is about 5207.6318994338. The cubic root of 27119430 is about 300.4416827354.

It can be divided in two parts, 271 and 19430, that added together give a triangular number (19701 = T198).

The spelling of 27119430 in words is "twenty-seven million, one hundred nineteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 1783 2535 3042 3566 5070 5349 7605 8915 10698 15210 16047 17830 23179 26745 32094 46358 53490 69537 80235 115895 139074 160470 208611 231790 301327 347685 417222 602654 695370 903981 1043055 1506635 1807962 2086110 2711943 3013270 4519905 5423886 9039810 13559715 27119430