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36141440 = 275149379
BaseRepresentation
bin1000100111011…
…1100110000000
32112000011201212
42021313212000
533223011230
63330345252
7616124426
oct211674600
975004655
1036141440
1119445665
121012b228
13764548a
144b2b116
15328d895
hex2277980

36141440 has 64 divisors (see below), whose sum is σ = 87210000. Its totient is φ = 14321664.

The previous prime is 36141433. The next prime is 36141481. The reversal of 36141440 is 4414163.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 95171 + ... + 95549.

Almost surely, 236141440 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 36141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43605000).

36141440 is an abundant number, since it is smaller than the sum of its proper divisors (51068560).

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

36141440 is a wasteful number, since it uses less digits than its factorization.

36141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 36141440 is about 6011.7751122277. The cubic root of 36141440 is about 330.6245899750.

The spelling of 36141440 in words is "thirty-six million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 149 160 298 320 379 596 640 745 758 1192 1490 1516 1895 2384 2980 3032 3790 4768 5960 6064 7580 9536 11920 12128 15160 19072 23840 24256 30320 47680 48512 56471 60640 95360 112942 121280 225884 242560 282355 451768 564710 903536 1129420 1807072 2258840 3614144 4517680 7228288 9035360 18070720 36141440