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27243920 = 2451183373
BaseRepresentation
bin110011111101…
…1010110010000
31220021010122002
41213323112100
523433301140
62411533132
7450366224
oct147732620
956233562
1027243920
1114418840
12915a1a8
13584b682
143892784
1525d2415
hex19fb590

27243920 has 80 divisors (see below), whose sum is σ = 70120512. Its totient is φ = 9761280.

The previous prime is 27243919. The next prime is 27243943. The reversal of 27243920 is 2934272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72854 + ... + 73226.

Almost surely, 227243920 is an apocalyptic number.

27243920 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 27243920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35060256).

27243920 is an abundant number, since it is smaller than the sum of its proper divisors (42876592).

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

27243920 is a wasteful number, since it uses less digits than its factorization.

27243920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 27243920 is about 5219.5708635864. The cubic root of 27243920 is about 300.9007004965.

The spelling of 27243920 in words is "twenty-seven million, two hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 166 176 220 332 373 415 440 664 746 830 880 913 1328 1492 1660 1826 1865 2984 3320 3652 3730 4103 4565 5968 6640 7304 7460 8206 9130 14608 14920 16412 18260 20515 29840 30959 32824 36520 41030 61918 65648 73040 82060 123836 154795 164120 247672 309590 328240 340549 495344 619180 681098 1238360 1362196 1702745 2476720 2724392 3405490 5448784 6810980 13621960 27243920