Search a number
-
+
1201292928 = 273211472017
BaseRepresentation
bin100011110011010…
…0100011010000000
310002201110000002200
41013212210122000
54430012333203
6315111513200
741524551513
oct10746443200
93081400080
101201292928
1156710a180
12296388800
13161b57b24
14b5788d7a
15706e39a3
hex479a4680

1201292928 has 192 divisors, whose sum is σ = 3853249920. Its totient is φ = 356106240.

The previous prime is 1201292927. The next prime is 1201292929. The reversal of 1201292928 is 8292921021.

It is an interprime number because it is at equal distance from previous prime (1201292927) and next prime (1201292929).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1201292892 and 1201292901.

It is not an unprimeable number, because it can be changed into a prime (1201292927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594576 + ... + 596592.

It is an arithmetic number, because the mean of its divisors is an integer number (20069010).

Almost surely, 21201292928 is an apocalyptic number.

1201292928 is a gapful number since it is divisible by the number (18) 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 1201292928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926624960).

1201292928 is an abundant number, since it is smaller than the sum of its proper divisors (2651956992).

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

1201292928 is a wasteful number, since it uses less digits than its factorization.

1201292928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1201292928 is about 34659.6729355601. The cubic root of 1201292928 is about 1063.0400824791.

The spelling of 1201292928 in words is "one billion, two hundred one million, two hundred ninety-two thousand, nine hundred twenty-eight".