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36106680 = 2335300889
BaseRepresentation
bin1000100110111…
…1000110111000
32111221102001110
42021233012320
533220403210
63325520320
7615621201
oct211570670
974842043
1036106680
1119421535
12101130a0
1376326cc
144b1c5a8
153283420
hex226f1b8

36106680 has 32 divisors (see below), whose sum is σ = 108320400. Its totient is φ = 9628416.

The previous prime is 36106663. The next prime is 36106687. The reversal of 36106680 is 8660163.

36106680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36106687) 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 7 ways as a sum of consecutive naturals, for example, 150325 + ... + 150564.

Almost surely, 236106680 is an apocalyptic number.

36106680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36106680 is an abundant number, since it is smaller than the sum of its proper divisors (72213720).

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

36106680 is a wasteful number, since it uses less digits than its factorization.

36106680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300903 (or 300899 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 36106680 is about 6008.8834237319. The cubic root of 36106680 is about 330.5185602842.

The spelling of 36106680 in words is "thirty-six million, one hundred six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 300889 601778 902667 1203556 1504445 1805334 2407112 3008890 3610668 4513335 6017780 7221336 9026670 12035560 18053340 36106680