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36145900 = 2252751637
BaseRepresentation
bin1000100111100…
…0101011101100
32112000101212001
42021320223230
533223132100
63330422044
7616143430
oct211705354
975011761
1036145900
1119448a4a
1210131924
13764750b
144b2c9c0
15328ed6a
hex2278aec

36145900 has 36 divisors (see below), whose sum is σ = 89643568. Its totient is φ = 12392640.

The previous prime is 36145883. The next prime is 36145909. The reversal of 36145900 is 954163.

36145900 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 (28).

It is not an unprimeable number, because it can be changed into a prime (36145909) 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 11 ways as a sum of consecutive naturals, for example, 25119 + ... + 26518.

Almost surely, 236145900 is an apocalyptic number.

It is an amenable number.

36145900 is an abundant number, since it is smaller than the sum of its proper divisors (53497668).

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

36145900 is a wasteful number, since it uses less digits than its factorization.

36145900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51658 (or 51651 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 36145900 is about 6012.1460394771. The cubic root of 36145900 is about 330.6381895532.

The spelling of 36145900 in words is "thirty-six million, one hundred forty-five thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 51637 103274 206548 258185 361459 516370 722918 1032740 1290925 1445836 1807295 2581850 3614590 5163700 7229180 9036475 18072950 36145900