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36052380 = 223257133171
BaseRepresentation
bin1000100110000…
…1110110011100
32111211122120100
42021201312130
533212134010
63324421100
7615303660
oct211416634
974748510
1036052380
1119394761
12100a7790
137613a90
144b068a0
1532722c0
hex2261d9c

36052380 has 288 divisors, whose sum is σ = 140894208. Its totient is φ = 7257600.

The previous prime is 36052333. The next prime is 36052391. The reversal of 36052380 is 8325063.

36052380 is a `hidden beast` number, since 3 + 60 + 523 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507745 + ... + 507815.

It is an arithmetic number, because the mean of its divisors is an integer number (489216).

Almost surely, 236052380 is an apocalyptic number.

36052380 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 36052380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70447104).

36052380 is an abundant number, since it is smaller than the sum of its proper divisors (104841828).

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

36052380 is a wasteful number, since it uses less digits than its factorization.

36052380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 36052380 is about 6004.3634133853. The cubic root of 36052380 is about 330.3527907542.

The spelling of 36052380 in words is "thirty-six million, fifty-two thousand, three hundred eighty".