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27146196 = 223272111399
BaseRepresentation
bin110011110001…
…1011111010100
31220002011120200
41213203133110
523422134241
62405500500
7446511300
oct147433724
956064520
1027146196
1114361380
129111730
13581604c
143868d00
1525b34b6
hex19e37d4

27146196 has 108 divisors (see below), whose sum is σ = 87141600. Its totient is φ = 7045920.

The previous prime is 27146191. The next prime is 27146219. The reversal of 27146196 is 69164172.

27146196 is a `hidden beast` number, since 27 + 14 + 619 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 27146196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27146191) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18705 + ... + 20103.

Almost surely, 227146196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27146196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43570800).

27146196 is an abundant number, since it is smaller than the sum of its proper divisors (59995404).

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

27146196 is a wasteful number, since it uses less digits than its factorization.

27146196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1422 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 27146196 is about 5210.2011477485. The cubic root of 27146196 is about 300.5404923088.

The spelling of 27146196 in words is "twenty-seven million, one hundred forty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1399 1617 1764 2156 2772 2798 3234 4197 4851 5596 6468 8394 9702 9793 12591 15389 16788 19404 19586 25182 29379 30778 39172 46167 50364 58758 61556 68551 88137 92334 107723 117516 137102 138501 176274 184668 205653 215446 274204 277002 323169 352548 411306 430892 554004 616959 646338 754061 822612 969507 1233918 1292676 1508122 1939014 2262183 2467836 3016244 3878028 4524366 6786549 9048732 13573098 27146196