Search a number
-
+
27700407 = 337146563
BaseRepresentation
bin110100110101…
…0110010110111
31221010022211000
41221222302313
524042403112
62425414343
7454310130
oct151526267
957108730
1027700407
11146aa7a9
12933a3b3
13597b397
143970c87
1526727dc
hex1a6acb7

27700407 has 16 divisors (see below), whose sum is σ = 46900480. Its totient is φ = 15828696.

The previous prime is 27700403. The next prime is 27700417. The reversal of 27700407 is 70400772.

It is a happy number.

It is not a de Polignac number, because 27700407 - 22 = 27700403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27700403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73093 + ... + 73470.

It is an arithmetic number, because the mean of its divisors is an integer number (2931280).

Almost surely, 227700407 is an apocalyptic number.

27700407 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

27700407 is a deficient number, since it is larger than the sum of its proper divisors (19200073).

27700407 is a wasteful number, since it uses less digits than its factorization.

27700407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146579 (or 146573 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 27700407 is about 5263.1176122143. The cubic root of 27700407 is about 302.5719866016.

The spelling of 27700407 in words is "twenty-seven million, seven hundred thousand, four hundred seven".

Divisors: 1 3 7 9 21 27 63 189 146563 439689 1025941 1319067 3077823 3957201 9233469 27700407