Search a number
-
+
277139142 = 23272399203
BaseRepresentation
bin10000100001001…
…100111011000110
3201022111010102200
4100201030323012
51031421423032
643300015330
76603433560
oct2041147306
9638433380
10277139142
1113248a815
1278991546
1345555477
1428b42330
15194e547c
hex1084cec6

277139142 has 48 divisors (see below), whose sum is σ = 689195520. Its totient is φ = 78842736.

The previous prime is 277139129. The next prime is 277139153. The reversal of 277139142 is 241931772.

It is a super-3 number, since 3×2771391423 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 277139097 and 277139106.

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, 25513 + ... + 34715.

It is an arithmetic number, because the mean of its divisors is an integer number (14358240).

Almost surely, 2277139142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 277139142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344597760).

277139142 is an abundant number, since it is smaller than the sum of its proper divisors (412056378).

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

277139142 is a wasteful number, since it uses less digits than its factorization.

277139142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9457 (or 9454 counting only the distinct ones).

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

The square root of 277139142 is about 16647.4965685535. The cubic root of 277139142 is about 651.9775215882.

The spelling of 277139142 in words is "two hundred seventy-seven million, one hundred thirty-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 239 478 717 1434 1673 2151 3346 4302 5019 9203 10038 15057 18406 27609 30114 55218 64421 82827 128842 165654 193263 386526 579789 1159578 2199517 4399034 6598551 13197102 15396619 19795653 30793238 39591306 46189857 92379714 138569571 277139142