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27498940 = 22571031907
BaseRepresentation
bin110100011100…
…1100110111100
31220202002110021
41220321212330
524014431230
62421221524
7452510560
oct150714674
956662407
1027498940
11145823a7
1292618a4
13590a781
14391b6a0
152632c7a
hex1a399bc

27498940 has 48 divisors (see below), whose sum is σ = 66673152. Its totient is φ = 9331776.

The previous prime is 27498937. The next prime is 27498949. The reversal of 27498940 is 4989472.

It is a super-2 number, since 2×274989402 = 1512383402247200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27498949) 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, 13467 + ... + 15373.

It is an arithmetic number, because the mean of its divisors is an integer number (1389024).

Almost surely, 227498940 is an apocalyptic number.

27498940 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 27498940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33336576).

27498940 is an abundant number, since it is smaller than the sum of its proper divisors (39174212).

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

27498940 is a wasteful number, since it uses less digits than its factorization.

27498940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 27498940 is about 5243.9431728424. The cubic root of 27498940 is about 301.8366585965.

The spelling of 27498940 in words is "twenty-seven million, four hundred ninety-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1442 1907 2060 2884 3605 3814 7210 7628 9535 13349 14420 19070 26698 38140 53396 66745 133490 196421 266980 392842 785684 982105 1374947 1964210 2749894 3928420 5499788 6874735 13749470 27498940