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27197440 = 216583
BaseRepresentation
bin110011111000…
…0000000000000
31220011202212121
41213300000000
523430304230
62410534024
7450113554
oct147600000
956152777
1027197440
1114396926
129137314
13583347a
14387d864
1525c377a
hex19f0000

27197440 has 68 divisors (see below), whose sum is σ = 66059784. Its totient is φ = 10747904.

The previous prime is 27197413. The next prime is 27197461. The reversal of 27197440 is 4479172.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 27197396 and 27197405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327639 + ... + 327721.

Almost surely, 227197440 is an apocalyptic number.

27197440 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 27197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33029892).

27197440 is an abundant number, since it is smaller than the sum of its proper divisors (38862344).

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

27197440 is an frugal number, since it uses more digits than its factorization.

27197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 27197440 is about 5215.1164895906. The cubic root of 27197440 is about 300.7294839985.

The spelling of 27197440 in words is "twenty-seven million, one hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 415 512 640 664 830 1024 1280 1328 1660 2048 2560 2656 3320 4096 5120 5312 6640 8192 10240 10624 13280 16384 20480 21248 26560 32768 40960 42496 53120 65536 81920 84992 106240 163840 169984 212480 327680 339968 424960 679936 849920 1359872 1699840 2719744 3399680 5439488 6799360 13598720 27197440