Search a number
-
+
27071772 = 22371321907
BaseRepresentation
bin110011101000…
…1010100011100
31212221101111020
41213101110130
523412244042
62404124140
7446051310
oct147212434
955841436
1027071772
1114310472
129096650
1357bb200
143849b40
15259b3ec
hex19d151c

27071772 has 72 divisors (see below), whose sum is σ = 78212736. Its totient is φ = 7136064.

The previous prime is 27071731. The next prime is 27071777. The reversal of 27071772 is 27717072.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27071777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13243 + ... + 15149.

It is an arithmetic number, because the mean of its divisors is an integer number (1086288).

Almost surely, 227071772 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 27071772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39106368).

27071772 is an abundant number, since it is smaller than the sum of its proper divisors (51140964).

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

27071772 is a wasteful number, since it uses less digits than its factorization.

27071772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 9604, while the sum is 33.

The square root of 27071772 is about 5203.0541031206. The cubic root of 27071772 is about 300.2655870313.

The spelling of 27071772 in words is "twenty-seven million, seventy-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 1907 2028 2366 3549 3814 4732 5721 7098 7628 11442 13349 14196 22884 24791 26698 40047 49582 53396 74373 80094 99164 148746 160188 173537 297492 322283 347074 520611 644566 694148 966849 1041222 1289132 1933698 2082444 2255981 3867396 4511962 6767943 9023924 13535886 27071772