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27493020 = 223555657
BaseRepresentation
bin110100011100…
…0001010011100
31220201210100000
41220320022130
524014234040
62421134300
7452454402
oct150701234
956653300
1027493020
1114578a05
12925a390
135907b79
143919472
152631130
hex1a3829c

27493020 has 72 divisors (see below), whose sum is σ = 86499504. Its totient is φ = 7330176.

The previous prime is 27493009. The next prime is 27493021. The reversal of 27493020 is 2039472.

It is a super-2 number, since 2×274930202 = 1511732297440800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27493021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2032 + ... + 7688.

It is an arithmetic number, because the mean of its divisors is an integer number (1201382).

Almost surely, 227493020 is an apocalyptic number.

27493020 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 27493020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43249752).

27493020 is an abundant number, since it is smaller than the sum of its proper divisors (59006484).

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

27493020 is a wasteful number, since it uses less digits than its factorization.

27493020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5681 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 27493020 is about 5243.3786817280. The cubic root of 27493020 is about 301.8149971402.

The spelling of 27493020 in words is "twenty-seven million, four hundred ninety-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 5657 11314 16971 22628 28285 33942 50913 56570 67884 84855 101826 113140 152739 169710 203652 254565 305478 339420 458217 509130 610956 763695 916434 1018260 1374651 1527390 1832868 2291085 2749302 3054780 4582170 5498604 6873255 9164340 13746510 27493020