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36706356 = 22323121061
BaseRepresentation
bin1000110000000…
…1100000110100
32120001212122200
42030001200310
533344100411
63350424500
7623666421
oct214014064
976055580
1036706356
11197a1035
1210362130
1377b264b
144c36d48
153350e56
hex2301834

36706356 has 54 divisors (see below), whose sum is σ = 95965506. Its totient is φ = 11829600.

The previous prime is 36706343. The next prime is 36706363. The reversal of 36706356 is 65360763.

It can be written as a sum of positive squares in only one way, i.e., 33246756 + 3459600 = 5766^2 + 1860^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 36706356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34066 + ... + 35126.

It is an arithmetic number, because the mean of its divisors is an integer number (1777139).

Almost surely, 236706356 is an apocalyptic number.

36706356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36706356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47982753).

36706356 is an abundant number, since it is smaller than the sum of its proper divisors (59259150).

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

36706356 is a wasteful number, since it uses less digits than its factorization.

36706356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 36706356 is about 6058.5770606637. The cubic root of 36706356 is about 332.3383230411.

The spelling of 36706356 in words is "thirty-six million, seven hundred six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1061 1116 1922 2122 2883 3183 3844 4244 5766 6366 8649 9549 11532 12732 17298 19098 32891 34596 38196 65782 98673 131564 197346 296019 394692 592038 1019621 1184076 2039242 3058863 4078484 6117726 9176589 12235452 18353178 36706356