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27265420 = 22571371211
BaseRepresentation
bin110100000000…
…0100110001100
31220022020010101
41220000212030
523434443140
62412220444
7450516010
oct150004614
956266111
1027265420
1114432a06
12916a724
1358583b0
14389a540
1525d899a
hex1a0098c

27265420 has 96 divisors (see below), whose sum is σ = 71801856. Its totient is φ = 8467200.

The previous prime is 27265409. The next prime is 27265453. The reversal of 27265420 is 2456272.

27265420 is a nontrivial binomial coefficient, being equal to C(7385, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129115 + ... + 129325.

It is an arithmetic number, because the mean of its divisors is an integer number (747936).

Almost surely, 227265420 is an apocalyptic number.

27265420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27265420 is the 7384-th triangular number.

27265420 is the 2462-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27265420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35900928).

27265420 is an abundant number, since it is smaller than the sum of its proper divisors (44536436).

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

27265420 is a wasteful number, since it uses less digits than its factorization.

27265420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 27265420 is about 5221.6300137026. The cubic root of 27265420 is about 300.9798333085.

The spelling of 27265420 in words is "twenty-seven million, two hundred sixty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 71 91 130 140 142 182 211 260 284 355 364 422 455 497 710 844 910 923 994 1055 1420 1477 1820 1846 1988 2110 2485 2743 2954 3692 4220 4615 4970 5486 5908 6461 7385 9230 9940 10972 12922 13715 14770 14981 18460 19201 25844 27430 29540 29962 32305 38402 54860 59924 64610 74905 76804 96005 104867 129220 149810 192010 194753 209734 299620 384020 389506 419468 524335 779012 973765 1048670 1363271 1947530 2097340 2726542 3895060 5453084 6816355 13632710 27265420