Search a number
-
+
1201474560 = 210351113547
BaseRepresentation
bin100011110011101…
…0000110000000000
310002201210020020210
41013213100300000
54430034141220
6315115434120
741526236166
oct10747206000
93081706223
101201474560
11567223690
12296455940
13161bbc6c0
14b57d5236
157072c6e0
hex479d0c00

1201474560 has 352 divisors, whose sum is σ = 4522920192. Its totient is φ = 268369920.

The previous prime is 1201474523. The next prime is 1201474577. The reversal of 1201474560 is 654741021.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×12014745602 = 2887082236654387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196207 + ... + 2196753.

Almost surely, 21201474560 is an apocalyptic number.

1201474560 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 1201474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261460096).

1201474560 is an abundant number, since it is smaller than the sum of its proper divisors (3321445632).

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

1201474560 is a wasteful number, since it uses less digits than its factorization.

1201474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1201474560 is about 34662.2930574421. The cubic root of 1201474560 is about 1063.0936559696.

The spelling of 1201474560 in words is "one billion, two hundred one million, four hundred seventy-four thousand, five hundred sixty".