Search a number
-
+
1119972420 = 22355724703
BaseRepresentation
bin100001011000001…
…0110110001000100
32220001102111100000
41002300112301010
54243203104140
6303044521300
736516415500
oct10260266104
92801374300
101119972420
11525216946
122730b0230
1314b054698
14a8a5b300
15684cda30
hex42c16c44

1119972420 has 216 divisors, whose sum is σ = 4099140864. Its totient is φ = 255939264.

The previous prime is 1119972409. The next prime is 1119972421. The reversal of 1119972420 is 242799111.

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

It is not an unprimeable number, because it can be changed into a prime (1119972421) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 235789 + ... + 240491.

It is an arithmetic number, because the mean of its divisors is an integer number (18977504).

Almost surely, 21119972420 is an apocalyptic number.

1119972420 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 1119972420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049570432).

1119972420 is an abundant number, since it is smaller than the sum of its proper divisors (2979168444).

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

1119972420 is a wasteful number, since it uses less digits than its factorization.

1119972420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4741 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1119972420 is about 33465.9890037632. The cubic root of 1119972420 is about 1038.4902959558.

The spelling of 1119972420 in words is "one billion, one hundred nineteen million, nine hundred seventy-two thousand, four hundred twenty".