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201427560 = 23355172353
BaseRepresentation
bin11000000000110…
…00101001101000
3112001000120200000
430000120221220
5403031140220
631553143000
74664051235
oct1400305150
9461016600
10201427560
11a3778564
125755aa60
1332967009
141ca7478c
1512a3c390
hexc018a68

201427560 has 384 divisors, whose sum is σ = 764225280. Its totient is φ = 47443968.

The previous prime is 201427529. The next prime is 201427573. The reversal of 201427560 is 65724102.

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 95 ways as a sum of consecutive naturals, for example, 3800494 + ... + 3800546.

It is an arithmetic number, because the mean of its divisors is an integer number (1990170).

Almost surely, 2201427560 is an apocalyptic number.

201427560 is a gapful number since it is divisible by the number (20) 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 201427560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382112640).

201427560 is an abundant number, since it is smaller than the sum of its proper divisors (562797720).

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

201427560 is a wasteful number, since it uses less digits than its factorization.

201427560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 201427560 is about 14192.5177470384. The cubic root of 201427560 is about 586.1916537754.

The spelling of 201427560 in words is "two hundred one million, four hundred twenty-seven thousand, five hundred sixty".