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36317970 = 2345133449
BaseRepresentation
bin1000101010001…
…0101100010010
32112100010220000
42022202230102
533244133340
63334230430
7620461203
oct212425422
975303800
1036317970
1119556257
12101b5416
1376a7930
144b755aa
1532c5d30
hex22a2b12

36317970 has 80 divisors (see below), whose sum is σ = 105197400. Its totient is φ = 8937216.

The previous prime is 36317921. The next prime is 36317971. The reversal of 36317970 is 7971363.

It can be written as a sum of positive squares in 4 ways, for example, as 10093329 + 26224641 = 3177^2 + 5121^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36317971) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8806 + ... + 12254.

Almost surely, 236317970 is an apocalyptic number.

36317970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36317970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52598700).

36317970 is an abundant number, since it is smaller than the sum of its proper divisors (68879430).

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

36317970 is a wasteful number, since it uses less digits than its factorization.

36317970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3481 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 36317970 is about 6026.4392471840. The cubic root of 36317970 is about 331.1620191166.

The spelling of 36317970 in words is "thirty-six million, three hundred seventeen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3449 3510 5265 6898 10347 10530 17245 20694 31041 34490 44837 51735 62082 89674 93123 103470 134511 155205 186246 224185 269022 279369 310410 403533 448370 465615 558738 672555 807066 931230 1210599 1345110 1396845 2017665 2421198 2793690 3631797 4035330 6052995 7263594 12105990 18158985 36317970