Search a number
-
+
1201147056 = 2436295367
BaseRepresentation
bin100011110011000…
…0000110010110000
310002201011121000000
41013212000302300
54424443201211
6315104430000
741523403314
oct10746006260
93081147000
101201147056
1156701a61a
12296318300
13161b06605
14b574bb44
15706b5656
hex47980cb0

1201147056 has 280 divisors, whose sum is σ = 3732551280. Its totient is φ = 373621248.

The previous prime is 1201147043. The next prime is 1201147061. The reversal of 1201147056 is 6507411021.

It is a happy number.

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 55 ways as a sum of consecutive naturals, for example, 17927535 + ... + 17927601.

Almost surely, 21201147056 is an apocalyptic number.

1201147056 is a gapful number since it is divisible by the number (16) 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 1201147056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866275640).

1201147056 is an abundant number, since it is smaller than the sum of its proper divisors (2531404224).

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

1201147056 is an equidigital number, since it uses as much as digits as its factorization.

1201147056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1201147056 is about 34657.5685240612. The cubic root of 1201147056 is about 1062.9970527133.

Adding to 1201147056 its reverse (6507411021), we get a palindrome (7708558077).

The spelling of 1201147056 in words is "one billion, two hundred one million, one hundred forty-seven thousand, fifty-six".