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27114192 = 2432737727
BaseRepresentation
bin110011101101…
…1101011010000
31220000112200100
41213123223100
523420123232
62405052400
7446316060
oct147335320
956015610
1027114192
111433a326
1290b7100
135804601
14385b3a0
1525a8c7c
hex19dbad0

27114192 has 120 divisors (see below), whose sum is σ = 89188736. Its totient is φ = 7527168.

The previous prime is 27114179. The next prime is 27114211. The reversal of 27114192 is 29141172.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36933 + ... + 37659.

Almost surely, 227114192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27114192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44594368).

27114192 is an abundant number, since it is smaller than the sum of its proper divisors (62074544).

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

27114192 is a wasteful number, since it uses less digits than its factorization.

27114192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 776 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 27114192 is about 5207.1289594171. The cubic root of 27114192 is about 300.4223384883.

It can be divided in two parts, 2711 and 4192, that added together give a triangular number (6903 = T117).

The spelling of 27114192 in words is "twenty-seven million, one hundred fourteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 727 777 888 1008 1036 1332 1454 1554 1776 2072 2181 2331 2664 2908 3108 4144 4362 4662 5089 5328 5816 6216 6543 8724 9324 10178 11632 12432 13086 15267 17448 18648 20356 26172 26899 30534 34896 37296 40712 45801 52344 53798 61068 80697 81424 91602 104688 107596 122136 161394 183204 188293 215192 242091 244272 322788 366408 376586 430384 484182 564879 645576 732816 753172 968364 1129758 1291152 1506344 1694637 1936728 2259516 3012688 3389274 3873456 4519032 6778548 9038064 13557096 27114192