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36283240 = 23571011283
BaseRepresentation
bin1000101001101…
…0001101101000
32112021101020201
42022122031220
533242030430
63333401544
7620255020
oct212321550
975241221
1036283240
1119532154
12101992b4
137694b96
144b66a80
1532ba8ca
hex229a368

36283240 has 64 divisors (see below), whose sum is σ = 94296960. Its totient is φ = 12307200.

The previous prime is 36283231. The next prime is 36283243. The reversal of 36283240 is 4238263.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 36283199 and 36283208.

It is not an unprimeable number, because it can be changed into a prime (36283243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27639 + ... + 28921.

It is an arithmetic number, because the mean of its divisors is an integer number (1473390).

Almost surely, 236283240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36283240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47148480).

36283240 is an abundant number, since it is smaller than the sum of its proper divisors (58013720).

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

36283240 is a wasteful number, since it uses less digits than its factorization.

36283240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 36283240 is about 6023.5570886313. The cubic root of 36283240 is about 331.0564246960.

The spelling of 36283240 in words is "thirty-six million, two hundred eighty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1283 1414 2020 2566 2828 3535 4040 5132 5656 6415 7070 8981 10264 12830 14140 17962 25660 28280 35924 44905 51320 71848 89810 129583 179620 259166 359240 518332 647915 907081 1036664 1295830 1814162 2591660 3628324 4535405 5183320 7256648 9070810 18141620 36283240