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1201160160 = 2532517139353
BaseRepresentation
bin100011110011000…
…0011111111100000
310002201012020222100
41013212003333200
54424444111120
6315105010400
741523456444
oct10746037740
93081166870
101201160160
11567029452
12296323a00
13161b0c575
14b5752824
15706b9490
hex47983fe0

1201160160 has 288 divisors, whose sum is σ = 4383681120. Its totient is φ = 298450944.

The previous prime is 1201160141. The next prime is 1201160167. The reversal of 1201160160 is 610611021.

1201160160 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 601 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201160167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3402544 + ... + 3402896.

It is an arithmetic number, because the mean of its divisors is an integer number (15221115).

Almost surely, 21201160160 is an apocalyptic number.

1201160160 is a gapful number since it is divisible by the number (10) 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 1201160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191840560).

1201160160 is an abundant number, since it is smaller than the sum of its proper divisors (3182520960).

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

1201160160 is a wasteful number, since it uses less digits than its factorization.

1201160160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1201160160 is about 34657.7575731610. The cubic root of 1201160160 is about 1063.0009183135. Note that the first 3 decimals are identical.

Adding to 1201160160 its reverse (610611021), we get a palindrome (1811771181).

The spelling of 1201160160 in words is "one billion, two hundred one million, one hundred sixty thousand, one hundred sixty".