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27164214 = 23371147139
BaseRepresentation
bin110011110011…
…1111000110110
31220010002022000
41213213320312
523423223324
62410120130
7446614650
oct147477066
956102260
1027164214
1114373970
129120046
1358212cc
1438716d0
1525b89c9
hex19e7e36

27164214 has 128 divisors (see below), whose sum is σ = 77414400. Its totient is φ = 6855840.

The previous prime is 27164117. The next prime is 27164231. The reversal of 27164214 is 41246172.

27164214 is a `hidden beast` number, since 2 + 7 + 1 + 642 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195357 + ... + 195495.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 227164214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27164214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707200).

27164214 is an abundant number, since it is smaller than the sum of its proper divisors (50250186).

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

27164214 is a wasteful number, since it uses less digits than its factorization.

27164214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 27164214 is about 5211.9299688311. The cubic root of 27164214 is about 300.6069711253.

The spelling of 27164214 in words is "twenty-seven million, one hundred sixty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 47 54 63 66 77 94 99 126 139 141 154 189 198 231 278 282 297 329 378 417 423 462 517 594 658 693 834 846 973 987 1034 1251 1269 1386 1529 1551 1946 1974 2079 2502 2538 2919 2961 3058 3102 3619 3753 4158 4587 4653 5838 5922 6533 7238 7506 8757 8883 9174 9306 10703 10857 13066 13761 13959 17514 17766 19599 21406 21714 26271 27522 27918 32109 32571 39198 41283 45731 52542 58797 64218 65142 71863 82566 91462 96327 97713 117594 137193 143726 176391 192654 195426 215589 274386 288981 352782 411579 431178 503041 577962 646767 823158 1006082 1234737 1293534 1509123 1940301 2469474 3018246 3880602 4527369 9054738 13582107 27164214