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27241368 = 23371114741
BaseRepresentation
bin110011111101…
…0101110011000
31220021000010120
41213322232120
523433210433
62411513240
7450355620
oct147725630
956230116
1027241368
1114416930
129158820
13584a46b
143891880
1525d17b3
hex19fab98

27241368 has 64 divisors (see below), whose sum is σ = 84913920. Its totient is φ = 7075200.

The previous prime is 27241367. The next prime is 27241369. The reversal of 27241368 is 86314272.

It is an interprime number because it is at equal distance from previous prime (27241367) and next prime (27241369).

It is a super-2 number, since 2×272413682 = 1484184261022848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27241367) 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, 5523 + ... + 9218.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 227241368 is an apocalyptic number.

27241368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27241368 is an abundant number, since it is smaller than the sum of its proper divisors (57672552).

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

27241368 is a wasteful number, since it uses less digits than its factorization.

27241368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14768 (or 14764 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 27241368 is about 5219.3263933194. The cubic root of 27241368 is about 300.8913048519.

The spelling of 27241368 in words is "twenty-seven million, two hundred forty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 14741 29482 44223 58964 88446 103187 117928 162151 176892 206374 309561 324302 353784 412748 486453 619122 648604 825496 972906 1135057 1238244 1297208 1945812 2270114 2476488 3405171 3891624 4540228 6810342 9080456 13620684 27241368