Search a number
-
+
1941879420 = 22345131923211
BaseRepresentation
bin111001110111110…
…1011101001111100
312000022222200210000
41303233223221330
512434110120140
6520405114300
766056463015
oct16357535174
95008880700
101941879420
1190715a828
124623b8990
1324c4079a0
14145c8a00c
15b5731a30
hex73beba7c

1941879420 has 480 divisors, whose sum is σ = 7240020480. Its totient is φ = 431101440.

The previous prime is 1941879413. The next prime is 1941879421. The reversal of 1941879420 is 249781491.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1941879421) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9203115 + ... + 9203325.

It is an arithmetic number, because the mean of its divisors is an integer number (15083376).

Almost surely, 21941879420 is an apocalyptic number.

1941879420 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 1941879420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620010240).

1941879420 is an abundant number, since it is smaller than the sum of its proper divisors (5298141060).

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

1941879420 is a wasteful number, since it uses less digits than its factorization.

1941879420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1941879420 is about 44066.7609429148. The cubic root of 1941879420 is about 1247.5963237685.

The spelling of 1941879420 in words is "one billion, nine hundred forty-one million, eight hundred seventy-nine thousand, four hundred twenty".