Search a number
-
+
1942174080 = 2732571129151
BaseRepresentation
bin111001111000011…
…0011100110000000
312000100112122222100
41303300303212000
512434144032310
6520415310400
766062131050
oct16360634600
95010478870
101942174080
11907341150
1246251b400
1324c4abb42
14145d25560
15b578dec0
hex73c33980

1942174080 has 768 divisors, whose sum is σ = 8707046400. Its totient is φ = 387072000.

The previous prime is 1942174079. The next prime is 1942174081. The reversal of 1942174080 is 804712491.

It is an interprime number because it is at equal distance from previous prime (1942174079) and next prime (1942174081).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1942174081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12862005 + ... + 12862155.

It is an arithmetic number, because the mean of its divisors is an integer number (11337300).

Almost surely, 21942174080 is an apocalyptic number.

1942174080 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 1942174080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353523200).

1942174080 is an abundant number, since it is smaller than the sum of its proper divisors (6764872320).

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

1942174080 is a wasteful number, since it uses less digits than its factorization.

1942174080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1942174080 is about 44070.1041523616. The cubic root of 1942174080 is about 1247.6594238313.

The spelling of 1942174080 in words is "one billion, nine hundred forty-two million, one hundred seventy-four thousand, eighty".