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36146640 = 2435150611
BaseRepresentation
bin1000100111100…
…0110111010000
32112000102212110
42021320313100
533223143030
63330425320
7616145535
oct211706720
975012773
1036146640
1119449562
1210132240
13764795a
144b2cd8c
1532901b0
hex2278dd0

36146640 has 40 divisors (see below), whose sum is σ = 112055328. Its totient is φ = 9639040.

The previous prime is 36146629. The next prime is 36146647. The reversal of 36146640 is 4664163.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 36146598 and 36146607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36146647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75066 + ... + 75545.

Almost surely, 236146640 is an apocalyptic number.

36146640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36146640 is an abundant number, since it is smaller than the sum of its proper divisors (75908688).

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

36146640 is a wasteful number, since it uses less digits than its factorization.

36146640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150627 (or 150621 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 36146640 is about 6012.2075812467. The cubic root of 36146640 is about 330.6404458772.

The spelling of 36146640 in words is "thirty-six million, one hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 150611 301222 451833 602444 753055 903666 1204888 1506110 1807332 2259165 2409776 3012220 3614664 4518330 6024440 7229328 9036660 12048880 18073320 36146640