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27769140 = 22325722039
BaseRepresentation
bin110100111101…
…1100100110100
31221020211002200
41221323210310
524102103030
62431104500
7455014410
oct151734464
957224080
1027769140
1114747403
129372130
1359a3759
14398bd40
152687d60
hex1a7b934

27769140 has 72 divisors (see below), whose sum is σ = 96270720. Its totient is φ = 6346944.

The previous prime is 27769123. The next prime is 27769199. The reversal of 27769140 is 4196772.

It is a happy number.

It is a super-2 number, since 2×277691402 = 1542250272679200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27769095 and 27769104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9760 + ... + 12279.

Almost surely, 227769140 is an apocalyptic number.

27769140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27769140 is an abundant number, since it is smaller than the sum of its proper divisors (68501580).

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

27769140 is a wasteful number, since it uses less digits than its factorization.

27769140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22061 (or 22056 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 27769140 is about 5269.6432516822. The cubic root of 27769140 is about 302.8220371165.

The spelling of 27769140 in words is "twenty-seven million, seven hundred sixty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 22039 44078 66117 88156 110195 132234 154273 198351 220390 264468 308546 330585 396702 440780 462819 617092 661170 771365 793404 925638 991755 1322340 1388457 1542730 1851276 1983510 2314095 2776914 3085460 3967020 4628190 5553828 6942285 9256380 13884570 27769140