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36070164 = 223313231117
BaseRepresentation
bin1000100110011…
…0001100010100
32111212112222000
42021212030110
533213221124
63325035300
7615406554
oct211461424
974775860
1036070164
11193a7059
12100b5b30
13761bbc0
144b0d164
1532776c9
hex2266314

36070164 has 96 divisors (see below), whose sum is σ = 105181440. Its totient is φ = 10606464.

The previous prime is 36070147. The next prime is 36070169. The reversal of 36070164 is 46107063.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36070169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31734 + ... + 32850.

It is an arithmetic number, because the mean of its divisors is an integer number (1095640).

Almost surely, 236070164 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 36070164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52590720).

36070164 is an abundant number, since it is smaller than the sum of its proper divisors (69111276).

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

36070164 is a wasteful number, since it uses less digits than its factorization.

36070164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36070164 is about 6005.8441538222. The cubic root of 36070164 is about 330.4071008837.

The spelling of 36070164 in words is "thirty-six million, seventy thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 92 108 117 138 156 207 234 276 299 351 414 468 598 621 702 828 897 1117 1196 1242 1404 1794 2234 2484 2691 3351 3588 4468 5382 6702 8073 10053 10764 13404 14521 16146 20106 25691 29042 30159 32292 40212 43563 51382 58084 60318 77073 87126 102764 120636 130689 154146 174252 231219 261378 308292 333983 392067 462438 522756 667966 693657 784134 924876 1001949 1335932 1387314 1568268 2003898 2774628 3005847 4007796 6011694 9017541 12023388 18035082 36070164