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36059816 = 23131093181
BaseRepresentation
bin1000100110001…
…1101010101000
32111212000202202
42021203222220
533212403231
63324515332
7615334442
oct211435250
974760682
1036059816
111939a301
12100abb48
137617290
144b09492
1532745cb
hex2263aa8

36059816 has 32 divisors (see below), whose sum is σ = 73504200. Its totient is φ = 16485120.

The previous prime is 36059813. The next prime is 36059819. The reversal of 36059816 is 61895063.

It is an interprime number because it is at equal distance from previous prime (36059813) and next prime (36059819).

It can be written as a sum of positive squares in 4 ways, for example, as 19624900 + 16434916 = 4430^2 + 4054^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36059816.

It is not an unprimeable number, because it can be changed into a prime (36059813) 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 7 ways as a sum of consecutive naturals, for example, 9746 + ... + 12926.

Almost surely, 236059816 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 36059816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36752100).

36059816 is an abundant number, since it is smaller than the sum of its proper divisors (37444384).

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

36059816 is a wasteful number, since it uses less digits than its factorization.

36059816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 36059816 is about 6004.9825978099. The cubic root of 36059816 is about 330.3755015478.

The spelling of 36059816 in words is "thirty-six million, fifty-nine thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 109 218 436 872 1417 2834 3181 5668 6362 11336 12724 25448 41353 82706 165412 330824 346729 693458 1386916 2773832 4507477 9014954 18029908 36059816