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36870966 = 23211316007
BaseRepresentation
bin1000110010100…
…1101100110110
32120101020110100
42030221230312
533414332331
63354134530
7625253346
oct214515466
976336410
1036870966
11198a3780
1210421446
13783c552
144c7ad26
153384ae6
hex2329b36

36870966 has 48 divisors (see below), whose sum is σ = 89975808. Its totient is φ = 10810800.

The previous prime is 36870949. The next prime is 36870989. The reversal of 36870966 is 66907863.

36870966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3135 + ... + 9141.

It is an arithmetic number, because the mean of its divisors is an integer number (1874496).

Almost surely, 236870966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36870966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44987904).

36870966 is an abundant number, since it is smaller than the sum of its proper divisors (53104842).

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

36870966 is a wasteful number, since it uses less digits than its factorization.

36870966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6057 (or 6054 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 36870966 is about 6072.1467373574. The cubic root of 36870966 is about 332.8343737128.

The spelling of 36870966 in words is "thirty-six million, eight hundred seventy thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6007 6138 12014 18021 36042 54063 66077 108126 132154 186217 198231 372434 396462 558651 594693 1117302 1189386 1675953 2048387 3351906 4096774 6145161 12290322 18435483 36870966