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27800740 = 225111071181
BaseRepresentation
bin110101000001…
…1010010100100
31221022102110001
41222003102210
524104110430
62431511044
7455205502
oct152032244
957272401
1027800740
1114769120
129388484
1359b4c56
143999672
1526923ca
hex1a834a4

27800740 has 48 divisors (see below), whose sum is σ = 64338624. Its totient is φ = 10006400.

The previous prime is 27800723. The next prime is 27800783. The reversal of 27800740 is 4700872.

It is a super-2 number, since 2×278007402 = 1545762289095200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27800699 and 27800708.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22950 + ... + 24130.

It is an arithmetic number, because the mean of its divisors is an integer number (1340388).

Almost surely, 227800740 is an apocalyptic number.

27800740 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 27800740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32169312).

27800740 is an abundant number, since it is smaller than the sum of its proper divisors (36537884).

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

27800740 is a wasteful number, since it uses less digits than its factorization.

27800740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 27800740 is about 5272.6407046185. The cubic root of 27800740 is about 302.9368594085.

The spelling of 27800740 in words is "twenty-seven million, eight hundred thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 1181 2140 2354 2362 4708 4724 5885 5905 11770 11810 12991 23540 23620 25982 51964 64955 126367 129910 252734 259820 505468 631835 1263670 1390037 2527340 2780074 5560148 6950185 13900370 27800740