Search a number
-
+
27474960 = 2435114479
BaseRepresentation
bin110100011001…
…1110000010000
31220200212120010
41220303300100
524013144320
62420514520
7452350632
oct150636020
956625503
1027474960
1114566387
12924ba40
1358cc896
143912a52
15262aae0
hex1a33c10

27474960 has 40 divisors (see below), whose sum is σ = 85173120. Its totient is φ = 7326592.

The previous prime is 27474947. The next prime is 27474971. The reversal of 27474960 is 6947472.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57000 + ... + 57479.

It is an arithmetic number, because the mean of its divisors is an integer number (2129328).

Almost surely, 227474960 is an apocalyptic number.

27474960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27474960 is an abundant number, since it is smaller than the sum of its proper divisors (57698160).

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

27474960 is a wasteful number, since it uses less digits than its factorization.

27474960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114495 (or 114489 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 27474960 is about 5241.6562268047. The cubic root of 27474960 is about 301.7488958436.

The spelling of 27474960 in words is "twenty-seven million, four hundred seventy-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 114479 228958 343437 457916 572395 686874 915832 1144790 1373748 1717185 1831664 2289580 2747496 3434370 4579160 5494992 6868740 9158320 13737480 27474960