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27936990 = 23254167113
BaseRepresentation
bin110101010010…
…0100011011110
31221120100100100
41222210203132
524122440430
62434441530
7456313644
oct152444336
957510310
1027936990
1114851524
1294332a6
135a31c83
1439d3194
1526bc960
hex1aa48de

27936990 has 96 divisors (see below), whose sum is σ = 76186656. Its totient is φ = 7096320.

The previous prime is 27936977. The next prime is 27936991. The reversal of 27936990 is 9963972.

27936990 = T316 + T317 + ... + T583.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27936991) 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 47 ways as a sum of consecutive naturals, for example, 247174 + ... + 247286.

It is an arithmetic number, because the mean of its divisors is an integer number (793611).

Almost surely, 227936990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27936990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38093328).

27936990 is an abundant number, since it is smaller than the sum of its proper divisors (48249666).

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

27936990 is a wasteful number, since it uses less digits than its factorization.

27936990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 27936990 is about 5285.5453834018. The cubic root of 27936990 is about 303.4309457885.

The spelling of 27936990 in words is "twenty-seven million, nine hundred thirty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 67 82 90 113 123 134 201 205 226 246 335 339 369 402 410 565 603 615 670 678 738 1005 1017 1130 1206 1230 1695 1845 2010 2034 2747 3015 3390 3690 4633 5085 5494 6030 7571 8241 9266 10170 13735 13899 15142 16482 22713 23165 24723 27470 27798 37855 41205 41697 45426 46330 49446 68139 69495 75710 82410 83394 113565 123615 136278 138990 208485 227130 247230 310411 340695 416970 620822 681390 931233 1552055 1862466 2793699 3104110 4656165 5587398 9312330 13968495 27936990