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27680040 = 23325233343
BaseRepresentation
bin110100110010…
…1110100101000
31221002021212200
41221211310220
524041230130
62425140200
7454163553
oct151456450
957067780
1027680040
1114696473
12932a660
13597202b
14396769a
15266b760
hex1a65d28

27680040 has 96 divisors (see below), whose sum is σ = 93899520. Its totient is φ = 7058304.

The previous prime is 27680011. The next prime is 27680047. The reversal of 27680040 is 4008672.

It is a super-2 number, since 2×276800402 = 1532369228803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27679986 and 27680013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27680047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6609 + ... + 9951.

It is an arithmetic number, because the mean of its divisors is an integer number (978120).

Almost surely, 227680040 is an apocalyptic number.

27680040 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 27680040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46949760).

27680040 is an abundant number, since it is smaller than the sum of its proper divisors (66219480).

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

27680040 is a wasteful number, since it uses less digits than its factorization.

27680040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 27680040 is about 5261.1823766146. The cubic root of 27680040 is about 302.4978120644.

The spelling of 27680040 in words is "twenty-seven million, six hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 3343 4140 6686 8280 10029 13372 16715 20058 26744 30087 33430 40116 50145 60174 66860 76889 80232 100290 120348 133720 150435 153778 200580 230667 240696 300870 307556 384445 401160 461334 601740 615112 692001 768890 922668 1153335 1203480 1384002 1537780 1845336 2306670 2768004 3075560 3460005 4613340 5536008 6920010 9226680 13840020 27680040