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27040680 = 23325312423
BaseRepresentation
bin110011100100…
…1101110101000
31212212210211200
41213021232220
523410300210
62403324200
7445561542
oct147115650
955783750
1027040680
111429a077
129080660
1357aa004
14383c692
1525920c0
hex19c9ba8

27040680 has 96 divisors (see below), whose sum is σ = 90754560. Its totient is φ = 6975360.

The previous prime is 27040661. The next prime is 27040681. The reversal of 27040680 is 8604072.

It is not an unprimeable number, because it can be changed into a prime (27040681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9949 + ... + 12371.

It is an arithmetic number, because the mean of its divisors is an integer number (945360).

Almost surely, 227040680 is an apocalyptic number.

27040680 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 27040680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45377280).

27040680 is an abundant number, since it is smaller than the sum of its proper divisors (63713880).

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

27040680 is a wasteful number, since it uses less digits than its factorization.

27040680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2464 counting only the distinct ones).

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

The square root of 27040680 is about 5200.0653842043. The cubic root of 27040680 is about 300.1505910618.

The spelling of 27040680 in words is "twenty-seven million, forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2423 2790 3720 4846 5580 7269 9692 11160 12115 14538 19384 21807 24230 29076 36345 43614 48460 58152 72690 75113 87228 96920 109035 145380 150226 174456 218070 225339 290760 300452 375565 436140 450678 600904 676017 751130 872280 901356 1126695 1352034 1502260 1802712 2253390 2704068 3004520 3380085 4506780 5408136 6760170 9013560 13520340 27040680