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27274240 = 21057761
BaseRepresentation
bin110100000001…
…0110000000000
31220022200020001
41220002300000
523440233430
62412325344
7450553510
oct150026000
956280201
1027274240
11144395a4
129173854
13585c406
14389d840
1525db3ca
hex1a02c00

27274240 has 88 divisors (see below), whose sum is σ = 74871072. Its totient is φ = 9338880.

The previous prime is 27274229. The next prime is 27274243. The reversal of 27274240 is 4247272.

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 Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 27274199 and 27274208.

It is not an unprimeable number, because it can be changed into a prime (27274243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35460 + ... + 36220.

Almost surely, 227274240 is an apocalyptic number.

27274240 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 27274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37435536).

27274240 is an abundant number, since it is smaller than the sum of its proper divisors (47596832).

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

27274240 is an equidigital number, since it uses as much as digits as its factorization.

27274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 28.

The square root of 27274240 is about 5222.4745092724. The cubic root of 27274240 is about 301.0122841313.

The spelling of 27274240 in words is "twenty-seven million, two hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 761 896 1024 1120 1280 1522 1792 2240 2560 3044 3584 3805 4480 5120 5327 6088 7168 7610 8960 10654 12176 15220 17920 21308 24352 26635 30440 35840 42616 48704 53270 60880 85232 97408 106540 121760 170464 194816 213080 243520 340928 389632 426160 487040 681856 779264 852320 974080 1363712 1704640 1948160 2727424 3409280 3896320 5454848 6818560 13637120 27274240