Search a number
-
+
1901670048 = 253417103419
BaseRepresentation
bin111000101011001…
…0010111010100000
311220112022211220000
41301112102322200
512343311420143
6512411220000
765060633355
oct16126227240
94815284800
101901670048
11896496943
12450a47600
13243c99a65
141407c062c
15b1e3cbd3
hex71592ea0

1901670048 has 240 divisors, whose sum is σ = 5993507520. Its totient is φ = 589400064.

The previous prime is 1901670047. The next prime is 1901670049. The reversal of 1901670048 is 8400761091.

It is an interprime number because it is at equal distance from previous prime (1901670047) and next prime (1901670049).

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 = 1901669994 and 1901670021.

It is not an unprimeable number, because it can be changed into a prime (1901670047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4538383 + ... + 4538801.

It is an arithmetic number, because the mean of its divisors is an integer number (24972948).

Almost surely, 21901670048 is an apocalyptic number.

1901670048 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 1901670048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996753760).

1901670048 is an abundant number, since it is smaller than the sum of its proper divisors (4091837472).

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

1901670048 is a wasteful number, since it uses less digits than its factorization.

1901670048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1901670048 is about 43608.1419920638. The cubic root of 1901670048 is about 1238.9251108228.

The spelling of 1901670048 in words is "one billion, nine hundred one million, six hundred seventy thousand, forty-eight".