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27397920 = 2535115189
BaseRepresentation
bin110100010000…
…0111100100000
31220112221212210
41220200330200
524003213140
62415122120
7451610214
oct150407440
956487783
1027397920
1114513510
129213340
1358a37b4
1438d2944
152612d80
hex1a20f20

27397920 has 96 divisors (see below), whose sum is σ = 94167360. Its totient is φ = 6640640.

The previous prime is 27397901. The next prime is 27397933. The reversal of 27397920 is 2979372.

It is a tau number, because it is divible by the number of its divisors (96).

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, 2686 + ... + 7874.

It is an arithmetic number, because the mean of its divisors is an integer number (980910).

Almost surely, 227397920 is an apocalyptic number.

27397920 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 27397920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47083680).

27397920 is an abundant number, since it is smaller than the sum of its proper divisors (66769440).

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

27397920 is a wasteful number, since it uses less digits than its factorization.

27397920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5218 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 27397920 is about 5234.3022457630. The cubic root of 27397920 is about 301.4665964110.

The spelling of 27397920 in words is "twenty-seven million, three hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5189 5280 10378 15567 20756 25945 31134 41512 51890 57079 62268 77835 83024 103780 114158 124536 155670 166048 171237 207560 228316 249072 285395 311340 342474 415120 456632 498144 570790 622680 684948 830240 856185 913264 1141580 1245360 1369896 1712370 1826528 2283160 2490720 2739792 3424740 4566320 5479584 6849480 9132640 13698960 27397920