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27213340 = 22571141431
BaseRepresentation
bin110011111001…
…1111000011100
31220012120200111
41213303320130
523431311330
62411135404
7450211120
oct147637034
956176614
1027213340
11143a7870
129144564
13583a78b
143885580
1525c832a
hex19f3e1c

27213340 has 96 divisors (see below), whose sum is σ = 73156608. Its totient is φ = 8256000.

The previous prime is 27213331. The next prime is 27213341. The reversal of 27213340 is 4331272.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27213341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62925 + ... + 63355.

It is an arithmetic number, because the mean of its divisors is an integer number (762048).

Almost surely, 227213340 is an apocalyptic number.

27213340 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 27213340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36578304).

27213340 is an abundant number, since it is smaller than the sum of its proper divisors (45943268).

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

27213340 is a wasteful number, since it uses less digits than its factorization.

27213340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 27213340 is about 5216.6406815114. The cubic root of 27213340 is about 300.7880761221.

The spelling of 27213340 in words is "twenty-seven million, two hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 41 44 55 70 77 82 110 140 154 164 205 220 287 308 385 410 431 451 574 770 820 862 902 1148 1435 1540 1724 1804 2155 2255 2870 3017 3157 4310 4510 4741 5740 6034 6314 8620 9020 9482 12068 12628 15085 15785 17671 18964 23705 30170 31570 33187 35342 47410 60340 63140 66374 70684 88355 94820 123697 132748 165935 176710 194381 247394 331870 353420 388762 494788 618485 663740 777524 971905 1236970 1360667 1943810 2473940 2721334 3887620 5442668 6803335 13606670 27213340