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273255138 = 23213372853
BaseRepresentation
bin10000010010011…
…000101011100010
3201001011210120200
4100102120223202
51024423131023
643040450030
76525426132
oct2022305342
9631153520
10273255138
111302776a2
1277619916
13447c5640
1428410ac2
1518ec9743
hex10498ae2

273255138 has 72 divisors (see below), whose sum is σ = 656061588. Its totient is φ = 81710208.

The previous prime is 273255113. The next prime is 273255149. The reversal of 273255138 is 831552372.

It is a happy number.

273255138 is a `hidden beast` number, since 2 + 73 + 2 + 551 + 38 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 133471809 + 139783329 = 11553^2 + 11823^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 319920 + ... + 320772.

Almost surely, 2273255138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273255138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328030794).

273255138 is an abundant number, since it is smaller than the sum of its proper divisors (382806450).

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

273255138 is a wasteful number, since it uses less digits than its factorization.

273255138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 908 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 273255138 is about 16530.4306658962. The cubic root of 273255138 is about 648.9174390447.

The spelling of 273255138 in words is "two hundred seventy-three million, two hundred fifty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 853 962 1369 1443 1706 2559 2738 2886 4107 4329 5118 7677 8214 8658 11089 12321 15354 17797 22178 24642 31561 33267 35594 53391 63122 66534 94683 99801 106782 160173 189366 199602 284049 320346 410293 568098 820586 1167757 1230879 2335514 2461758 3503271 3692637 7006542 7385274 10509813 15180841 21019626 30361682 45542523 91085046 136627569 273255138