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36328080 = 2435374091
BaseRepresentation
bin1000101010010…
…1001010010000
32112100122202110
42022211022100
533244444310
63334345320
7620532525
oct212451220
975318673
1036328080
1119562908
12101bb240
1376ac409
144b7914c
1532c8d20
hex22a5290

36328080 has 80 divisors (see below), whose sum is σ = 115689024. Its totient is φ = 9423360.

The previous prime is 36328079. The next prime is 36328093. The reversal of 36328080 is 8082363.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6835 + ... + 10925.

Almost surely, 236328080 is an apocalyptic number.

36328080 is a gapful number since it is divisible by the number (30) 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 36328080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57844512).

36328080 is an abundant number, since it is smaller than the sum of its proper divisors (79360944).

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

36328080 is a wasteful number, since it uses less digits than its factorization.

36328080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 36328080 is about 6027.2779925933. The cubic root of 36328080 is about 331.1927452961.

The spelling of 36328080 in words is "thirty-six million, three hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4091 4440 8182 8880 12273 16364 20455 24546 32728 40910 49092 61365 65456 81820 98184 122730 151367 163640 196368 245460 302734 327280 454101 490920 605468 756835 908202 981840 1210936 1513670 1816404 2270505 2421872 3027340 3632808 4541010 6054680 7265616 9082020 12109360 18164040 36328080