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27861920 = 255174137
BaseRepresentation
bin110101001001…
…0001110100000
31221102112100222
41222102032200
524113040140
62433102212
7455552042
oct152221640
957375328
1027861920
1114800089
1293b7968
135a06a58
1439b3a92
1526a55b5
hex1a923a0

27861920 has 24 divisors (see below), whose sum is σ = 65824164. Its totient is φ = 11144704.

The previous prime is 27861877. The next prime is 27861931. The reversal of 27861920 is 2916872.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27415696 + 446224 = 5236^2 + 668^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86909 + ... + 87228.

Almost surely, 227861920 is an apocalyptic number.

27861920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27861920 is an abundant number, since it is smaller than the sum of its proper divisors (37962244).

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

27861920 is a wasteful number, since it uses less digits than its factorization.

27861920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174152 (or 174144 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 27861920 is about 5278.4391632376. The cubic root of 27861920 is about 303.1589170253.

The spelling of 27861920 in words is "twenty-seven million, eight hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 174137 348274 696548 870685 1393096 1741370 2786192 3482740 5572384 6965480 13930960 27861920