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36315396 = 223213247127
BaseRepresentation
bin1000101010001…
…0000100000100
32112100000100200
42022202010010
533244043041
63334210500
7620450535
oct212420404
975300320
1036315396
1119554327
12101b3a30
1376a6700
144b7468c
1532c51b6
hex22a2104

36315396 has 108 divisors (see below), whose sum is σ = 102316032. Its totient is φ = 10850112.

The previous prime is 36315379. The next prime is 36315437. The reversal of 36315396 is 69351363.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36315396.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 285885 + ... + 286011.

Almost surely, 236315396 is an apocalyptic number.

36315396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36315396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51158016).

36315396 is an abundant number, since it is smaller than the sum of its proper divisors (66000636).

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

36315396 is a wasteful number, since it uses less digits than its factorization.

36315396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its digits is 43740, while the sum is 36.

The square root of 36315396 is about 6026.2256844562. The cubic root of 36315396 is about 331.1541953389.

The spelling of 36315396 in words is "thirty-six million, three hundred fifteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 127 141 156 169 188 234 254 282 338 381 423 468 507 508 564 611 676 762 846 1014 1143 1222 1521 1524 1651 1692 1833 2028 2286 2444 3042 3302 3666 4572 4953 5499 5969 6084 6604 7332 7943 9906 10998 11938 14859 15886 17907 19812 21463 21996 23829 23876 29718 31772 35814 42926 47658 53721 59436 64389 71487 71628 77597 85852 95316 107442 128778 142974 155194 193167 214884 232791 257556 285948 310388 386334 465582 698373 772668 931164 1008761 1396746 2017522 2793492 3026283 4035044 6052566 9078849 12105132 18157698 36315396