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274936116 = 223713793187
BaseRepresentation
bin10000011000110…
…011000100110100
3201011100012110010
4100120303010310
51030340423431
643140500220
76545630010
oct2030630464
9634305403
10274936116
11131215634
12780aa670
1344c637c0
142872b540
151920c846
hex10633134

274936116 has 96 divisors (see below), whose sum is σ = 799805440. Its totient is φ = 71570304.

The previous prime is 274936111. The next prime is 274936127. The reversal of 274936116 is 611639472.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274936111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 84675 + ... + 87861.

Almost surely, 2274936116 is an apocalyptic number.

274936116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274936116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399902720).

274936116 is an abundant number, since it is smaller than the sum of its proper divisors (524869324).

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

274936116 is a wasteful number, since it uses less digits than its factorization.

274936116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3291 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 274936116 is about 16581.1976648251. The cubic root of 274936116 is about 650.2453637780.

The spelling of 274936116 in words is "two hundred seventy-four million, nine hundred thirty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 79 84 91 156 158 182 237 273 316 364 474 546 553 948 1027 1092 1106 1659 2054 2212 3081 3187 3318 4108 6162 6374 6636 7189 9561 12324 12748 14378 19122 21567 22309 28756 38244 41431 43134 44618 66927 82862 86268 89236 124293 133854 165724 248586 251773 267708 290017 497172 503546 580034 755319 870051 1007092 1160068 1510638 1740102 1762411 3021276 3273049 3480204 3524822 5287233 6546098 7049644 9819147 10574466 13092196 19638294 21148932 22911343 39276588 45822686 68734029 91645372 137468058 274936116