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27170420 = 22517157509
BaseRepresentation
bin110011110100…
…1011001110100
31220010101210212
41213221121310
523423423140
62410204552
7446642024
oct147513164
956111725
1027170420
11143785a2
129123758
135824094
143873a84
1525ba765
hex19e9674

27170420 has 48 divisors (see below), whose sum is σ = 60918480. Its totient is φ = 10143744.

The previous prime is 27170417. The next prime is 27170431. The reversal of 27170420 is 2407172.

It can be written as a sum of positive squares in 8 ways, for example, as 524176 + 26646244 = 724^2 + 5162^2 .

It is a congruent number.

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, 53126 + ... + 53634.

It is an arithmetic number, because the mean of its divisors is an integer number (1269135).

Almost surely, 227170420 is an apocalyptic number.

27170420 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 27170420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30459240).

27170420 is an abundant number, since it is smaller than the sum of its proper divisors (33748060).

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

27170420 is a wasteful number, since it uses less digits than its factorization.

27170420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 27170420 is about 5212.5252996988. The cubic root of 27170420 is about 300.6298618399.

Adding to 27170420 its reverse (2407172), we get a palindrome (29577592).

The spelling of 27170420 in words is "twenty-seven million, one hundred seventy thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 157 170 314 340 509 628 785 1018 1570 2036 2545 2669 3140 5090 5338 8653 10180 10676 13345 17306 26690 34612 43265 53380 79913 86530 159826 173060 319652 399565 799130 1358521 1598260 2717042 5434084 6792605 13585210 27170420