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27996640 = 255723571
BaseRepresentation
bin110101011001…
…1000111100000
31221200101011121
41222303013200
524131343030
62440022024
7456652600
oct152630740
957611147
1027996640
1114892321
129461914
135a53179
143a0ac00
1526d047a
hex1ab31e0

27996640 has 72 divisors (see below), whose sum is σ = 76962312. Its totient is φ = 9596160.

The previous prime is 27996601. The next prime is 27996643. The reversal of 27996640 is 4669972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27996643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6055 + ... + 9625.

It is an arithmetic number, because the mean of its divisors is an integer number (1068921).

Almost surely, 227996640 is an apocalyptic number.

27996640 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 27996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38481156).

27996640 is an abundant number, since it is smaller than the sum of its proper divisors (48965672).

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

27996640 is a wasteful number, since it uses less digits than its factorization.

27996640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 27996640 is about 5291.1851224466. The cubic root of 27996640 is about 303.6467503458.

The spelling of 27996640 in words is "twenty-seven million, nine hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3571 3920 7142 7840 14284 17855 24997 28568 35710 49994 57136 71420 99988 114272 124985 142840 174979 199976 249970 285680 349958 399952 499940 571360 699916 799904 874895 999880 1399832 1749790 1999760 2799664 3499580 3999520 5599328 6999160 13998320 27996640