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201390000 = 2435472137
BaseRepresentation
bin11000000000011…
…11011110110000
3112000221200010220
430000033132300
5403023440000
631552253040
74663533600
oct1400173660
9460850126
10201390000
11a3752319
1257541180
1332952ba6
141ca64c00
1512a311a0
hexc00f7b0

201390000 has 300 divisors, whose sum is σ = 761774904. Its totient is φ = 45696000.

The previous prime is 201389989. The next prime is 201390017. The reversal of 201390000 is 93102.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1469932 + ... + 1470068.

Almost surely, 2201390000 is an apocalyptic number.

201390000 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 201390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380887452).

201390000 is an abundant number, since it is smaller than the sum of its proper divisors (560384904).

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

201390000 is a wasteful number, since it uses less digits than its factorization.

201390000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 201390000 is about 14191.1944528993. The cubic root of 201390000 is about 586.1552159824.

The spelling of 201390000 in words is "two hundred one million, three hundred ninety thousand".