Search a number
-
+
27730740 = 22351731877
BaseRepresentation
bin110100111001…
…0001100110100
31221011212102110
41221302030310
524044340430
62430211020
7454464432
oct151621464
957155373
1027730740
1114720574
129353a70
13598c12b
14397bd52
15267b7b0
hex1a72334

27730740 has 96 divisors (see below), whose sum is σ = 84962304. Its totient is φ = 6727680.

The previous prime is 27730739. The next prime is 27730751. The reversal of 27730740 is 4703772.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27730698 and 27730707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31182 + ... + 32058.

It is an arithmetic number, because the mean of its divisors is an integer number (885024).

Almost surely, 227730740 is an apocalyptic number.

27730740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27730740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42481152).

27730740 is an abundant number, since it is smaller than the sum of its proper divisors (57231564).

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

27730740 is a wasteful number, since it uses less digits than its factorization.

27730740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 30.

The square root of 27730740 is about 5265.9984808201. The cubic root of 27730740 is about 302.6823889271.

The spelling of 27730740 in words is "twenty-seven million, seven hundred thirty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 877 930 1020 1054 1581 1754 1860 2108 2631 2635 3162 3508 4385 5262 5270 6324 7905 8770 10524 10540 13155 14909 15810 17540 26310 27187 29818 31620 44727 52620 54374 59636 74545 81561 89454 108748 135935 149090 163122 178908 223635 271870 298180 326244 407805 447270 462179 543740 815610 894540 924358 1386537 1631220 1848716 2310895 2773074 4621790 5546148 6932685 9243580 13865370 27730740