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27497070 = 234583409
BaseRepresentation
bin110100011100…
…1001001101110
31220201222220000
41220321021232
524014401240
62421205130
7452502246
oct150711156
956658800
1027497070
1114580a57
1292607a6
135909973
14391ab26
152632430
hex1a3926e

27497070 has 80 divisors (see below), whose sum is σ = 75010320. Its totient is φ = 7226496.

The previous prime is 27497059. The next prime is 27497077. The reversal of 27497070 is 7079472.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27497077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67026 + ... + 67434.

It is an arithmetic number, because the mean of its divisors is an integer number (937629).

Almost surely, 227497070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27497070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37505160).

27497070 is an abundant number, since it is smaller than the sum of its proper divisors (47513250).

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

27497070 is a wasteful number, since it uses less digits than its factorization.

27497070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 27497070 is about 5243.7648688705. The cubic root of 27497070 is about 301.8298165467.

It can be divided in two parts, 274 and 97070, that added together give a square (97344 = 3122).

The spelling of 27497070 in words is "twenty-seven million, four hundred ninety-seven thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 83 90 135 162 166 249 270 405 409 415 498 747 810 818 830 1227 1245 1494 2045 2241 2454 2490 3681 3735 4090 4482 6135 6723 7362 7470 11043 11205 12270 13446 18405 22086 22410 33129 33615 33947 36810 55215 66258 67230 67894 101841 110430 165645 169735 203682 305523 331290 339470 509205 611046 916569 1018410 1527615 1833138 2749707 3055230 4582845 5499414 9165690 13748535 27497070