Search a number
-
+
1469112120 = 2333572172371
BaseRepresentation
bin101011110010000…
…1101111100111000
310210101101121222000
41113210031330320
511002043041440
6401440101000
751256150500
oct12744157470
93711347860
101469112120
11694303753
12350004760
131a5499118
14dd182a00
1588e97730
hex5790df38

1469112120 has 768 divisors, whose sum is σ = 6382540800. Its totient is φ = 298045440.

The previous prime is 1469112119. The next prime is 1469112133. The reversal of 1469112120 is 212119641.

It is a super-2 number, since 2×14691121202 = 4316580842261788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20691685 + ... + 20691755.

It is an arithmetic number, because the mean of its divisors is an integer number (8310600).

Almost surely, 21469112120 is an apocalyptic number.

1469112120 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 1469112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191270400).

1469112120 is an abundant number, since it is smaller than the sum of its proper divisors (4913428680).

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

1469112120 is a wasteful number, since it uses less digits than its factorization.

1469112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1469112120 is about 38328.9984215607. The cubic root of 1469112120 is about 1136.8023967206.

The spelling of 1469112120 in words is "one billion, four hundred sixty-nine million, one hundred twelve thousand, one hundred twenty".