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36401316 = 22372311997
BaseRepresentation
bin1000101011011…
…1000010100100
32112111101012220
42022313002210
533304320231
63340112340
7621256200
oct212670244
975441186
1036401316
1119602936
12102356b0
137706853
144b97b00
1532e0896
hex22b70a4

36401316 has 72 divisors (see below), whose sum is σ = 102041856. Its totient is φ = 10059840.

The previous prime is 36401291. The next prime is 36401329. The reversal of 36401316 is 61310463.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17230 + ... + 19226.

It is an arithmetic number, because the mean of its divisors is an integer number (1417248).

Almost surely, 236401316 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 36401316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51020928).

36401316 is an abundant number, since it is smaller than the sum of its proper divisors (65640540).

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

36401316 is a wasteful number, since it uses less digits than its factorization.

36401316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 36401316 is about 6033.3503130516. The cubic root of 36401316 is about 331.4151531499.

Adding to 36401316 its reverse (61310463), we get a palindrome (97711779).

The spelling of 36401316 in words is "thirty-six million, four hundred one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 372 434 588 651 868 1302 1519 1997 2604 3038 3994 4557 5991 6076 7988 9114 11982 13979 18228 23964 27958 41937 55916 61907 83874 97853 123814 167748 185721 195706 247628 293559 371442 391412 433349 587118 742884 866698 1174236 1300047 1733396 2600094 3033443 5200188 6066886 9100329 12133772 18200658 36401316