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27493280 = 2552331241
BaseRepresentation
bin110100011100…
…0001110100000
31220201210200122
41220320032200
524014241110
62421135412
7452455223
oct150701640
956653618
1027493280
1114579121
12925a568
135908019
1439195ba
152631255
hex1a383a0

27493280 has 96 divisors (see below), whose sum is σ = 70253568. Its totient is φ = 10137600.

The previous prime is 27493237. The next prime is 27493283. The reversal of 27493280 is 8239472.

It is a self number, because there is not a number n which added to its sum of digits gives 27493280.

It is not an unprimeable number, because it can be changed into a prime (27493283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113960 + ... + 114200.

It is an arithmetic number, because the mean of its divisors is an integer number (731808).

Almost surely, 227493280 is an apocalyptic number.

27493280 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 27493280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35126784).

27493280 is an abundant number, since it is smaller than the sum of its proper divisors (42760288).

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

27493280 is a wasteful number, since it uses less digits than its factorization.

27493280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 27493280 is about 5243.4034748434. The cubic root of 27493280 is about 301.8159485532.

The spelling of 27493280 in words is "twenty-seven million, four hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 31 32 40 46 62 80 92 115 124 155 160 184 230 241 248 310 368 460 482 496 620 713 736 920 964 992 1205 1240 1426 1840 1928 2410 2480 2852 3565 3680 3856 4820 4960 5543 5704 7130 7471 7712 9640 11086 11408 14260 14942 19280 22172 22816 27715 28520 29884 37355 38560 44344 55430 57040 59768 74710 88688 110860 114080 119536 149420 171833 177376 221720 239072 298840 343666 443440 597680 687332 859165 886880 1195360 1374664 1718330 2749328 3436660 5498656 6873320 13746640 27493280