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27970900 = 2252279709
BaseRepresentation
bin110101010110…
…0110101010100
31221122001212021
41222230311110
524130032100
62435302524
7456514546
oct152546524
957561767
1027970900
1114874a51
12944aa44
135a44539
143a01696
1526c7a1a
hex1aacd54

27970900 has 18 divisors (see below), whose sum is σ = 60697070. Its totient is φ = 11188320.

The previous prime is 27970883. The next prime is 27970903. The reversal of 27970900 is 907972.

It can be written as a sum of positive squares in 3 ways, for example, as 6012304 + 21958596 = 2452^2 + 4686^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27970903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139755 + ... + 139954.

Almost surely, 227970900 is an apocalyptic number.

27970900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27970900 is an abundant number, since it is smaller than the sum of its proper divisors (32726170).

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

27970900 is a wasteful number, since it uses less digits than its factorization.

27970900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279723 (or 279716 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 34.

The square root of 27970900 is about 5288.7522157878. The cubic root of 27970900 is about 303.5536646056.

The spelling of 27970900 in words is "twenty-seven million, nine hundred seventy thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 279709 559418 1118836 1398545 2797090 5594180 6992725 13985450 27970900