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36026040 = 2335331907
BaseRepresentation
bin1000100101101…
…1011010111000
32111210022102210
42021123122320
533210313130
63324055120
7615134121
oct211333270
974708383
1036026040
1119376996
12100944a0
137604aab
144adb048
1532695b0
hex225b6b8

36026040 has 64 divisors (see below), whose sum is σ = 108524160. Its totient is φ = 9567360.

The previous prime is 36025949. The next prime is 36026047. The reversal of 36026040 is 4062063.

36026040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 36025998 and 36026016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36026047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39267 + ... + 40173.

It is an arithmetic number, because the mean of its divisors is an integer number (1695690).

Almost surely, 236026040 is an apocalyptic number.

36026040 is a gapful number since it is divisible by the number (30) 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 36026040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54262080).

36026040 is an abundant number, since it is smaller than the sum of its proper divisors (72498120).

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

36026040 is a wasteful number, since it uses less digits than its factorization.

36026040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 36026040 is about 6002.1696077335. The cubic root of 36026040 is about 330.2723188363.

The spelling of 36026040 in words is "thirty-six million, twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 662 907 993 1324 1655 1814 1986 2648 2721 3310 3628 3972 4535 4965 5442 6620 7256 7944 9070 9930 10884 13240 13605 18140 19860 21768 27210 36280 39720 54420 108840 300217 600434 900651 1200868 1501085 1801302 2401736 3002170 3602604 4503255 6004340 7205208 9006510 12008680 18013020 36026040