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36053640 = 23335719251
BaseRepresentation
bin1000100110001…
…0001010001000
32111211201022000
42021202022020
533212204030
63324431000
7615310440
oct211421210
974751260
1036053640
11193956a7
12100a8460
13761451c
144b07120
153272860
hex2262288

36053640 has 256 divisors, whose sum is σ = 145152000. Its totient is φ = 7776000.

The previous prime is 36053609. The next prime is 36053657. The reversal of 36053640 is 4635063.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143515 + ... + 143765.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 236053640 is an apocalyptic number.

36053640 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 36053640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

36053640 is an abundant number, since it is smaller than the sum of its proper divisors (109098360).

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

36053640 is a wasteful number, since it uses less digits than its factorization.

36053640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 36053640 is about 6004.4683361643. The cubic root of 36053640 is about 330.3566392256.

The spelling of 36053640 in words is "thirty-six million, fifty-three thousand, six hundred forty".