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27381240 = 23375313
BaseRepresentation
bin110100001110…
…0110111111000
31220112010000000
41220130313320
524002144430
62414513000
7451510455
oct150346770
956463000
1027381240
1114501a27
129205760
135899023
1438ca82c
15260ce60
hex1a1cdf8

27381240 has 128 divisors (see below), whose sum is σ = 92692800. Its totient is φ = 7278336.

The previous prime is 27381217. The next prime is 27381281. The reversal of 27381240 is 4218372.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 87324 + ... + 87636.

Almost surely, 227381240 is an apocalyptic number.

27381240 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 27381240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46346400).

27381240 is an abundant number, since it is smaller than the sum of its proper divisors (65311560).

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

27381240 is an equidigital number, since it uses as much as digits as its factorization.

27381240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 27381240 is about 5232.7086676023. The cubic root of 27381240 is about 301.4054058337.

The spelling of 27381240 in words is "twenty-seven million, three hundred eighty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 313 324 360 405 486 540 626 648 729 810 939 972 1080 1215 1252 1458 1565 1620 1878 1944 2187 2430 2504 2817 2916 3130 3240 3645 3756 4374 4695 4860 5634 5832 6260 7290 7512 8451 8748 9390 9720 10935 11268 12520 14085 14580 16902 17496 18780 21870 22536 25353 28170 29160 33804 37560 42255 43740 50706 56340 67608 76059 84510 87480 101412 112680 126765 152118 169020 202824 228177 253530 304236 338040 380295 456354 507060 608472 684531 760590 912708 1014120 1140885 1369062 1521180 1825416 2281770 2738124 3042360 3422655 4563540 5476248 6845310 9127080 13690620 27381240