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36514140 = 2235133277
BaseRepresentation
bin1000101101001…
…0100101011100
32112201002222120
42023102211130
533321423030
63342342540
7622236135
oct213224534
975632876
1036514140
111967a683
121028aa50
137746000
144bc6c8c
153314010
hex22d295c

36514140 has 96 divisors (see below), whose sum is σ = 111155520. Its totient is φ = 8955648.

The previous prime is 36514139. The next prime is 36514157. The reversal of 36514140 is 4141563.

It is a self number, because there is not a number n which added to its sum of digits gives 36514140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131682 + ... + 131958.

It is an arithmetic number, because the mean of its divisors is an integer number (1157870).

Almost surely, 236514140 is an apocalyptic number.

36514140 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 36514140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55577760).

36514140 is an abundant number, since it is smaller than the sum of its proper divisors (74641380).

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

36514140 is a wasteful number, since it uses less digits than its factorization.

36514140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 36514140 is about 6042.6931082093. The cubic root of 36514140 is about 331.7572013928.

The spelling of 36514140 in words is "thirty-six million, five hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 277 338 390 507 554 676 780 831 845 1014 1108 1385 1662 1690 2028 2197 2535 2770 3324 3380 3601 4155 4394 5070 5540 6591 7202 8310 8788 10140 10803 10985 13182 14404 16620 18005 21606 21970 26364 32955 36010 43212 43940 46813 54015 65910 72020 93626 108030 131820 140439 187252 216060 234065 280878 468130 561756 608569 702195 936260 1217138 1404390 1825707 2434276 2808780 3042845 3651414 6085690 7302828 9128535 12171380 18257070 36514140