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27996150 = 23527213293
BaseRepresentation
bin110101011001…
…0111111110110
31221200100111110
41222302333312
524131334100
62440015450
7456651300
oct152627766
957610443
1027996150
1114891a16
129461586
135a52b90
143a0a970
1526d0250
hex1ab2ff6

27996150 has 144 divisors (see below), whose sum is σ = 87275664. Its totient is φ = 5886720.

The previous prime is 27996109. The next prime is 27996167. The reversal of 27996150 is 5169972.

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

It is a junction number, because it is equal to n+sod(n) for n = 27996099 and 27996108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 95404 + ... + 95696.

It is an arithmetic number, because the mean of its divisors is an integer number (606081).

Almost surely, 227996150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27996150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43637832).

27996150 is an abundant number, since it is smaller than the sum of its proper divisors (59279514).

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

27996150 is a wasteful number, since it uses less digits than its factorization.

27996150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 27996150 is about 5291.1388188177. The cubic root of 27996150 is about 303.6449788502.

The spelling of 27996150 in words is "twenty-seven million, nine hundred ninety-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 49 50 65 70 75 78 91 98 105 130 147 150 175 182 195 210 245 273 293 294 325 350 390 455 490 525 546 586 637 650 735 879 910 975 1050 1225 1274 1365 1465 1470 1758 1911 1950 2051 2275 2450 2730 2930 3185 3675 3809 3822 4102 4395 4550 6153 6370 6825 7325 7350 7618 8790 9555 10255 11427 12306 13650 14357 14650 15925 19045 19110 20510 21975 22854 26663 28714 30765 31850 38090 43071 43950 47775 51275 53326 57135 61530 71785 79989 86142 95225 95550 102550 114270 133315 143570 153825 159978 186641 190450 215355 266630 285675 307650 358925 373282 399945 430710 559923 571350 666575 717850 799890 933205 1076775 1119846 1333150 1866410 1999725 2153550 2799615 3999450 4666025 5599230 9332050 13998075 27996150