Search a number
-
+
1466023080 = 2335294397101
BaseRepresentation
bin101011101100001…
…1011110010101000
310210011120200121010
41113120123302220
511000300214310
6401245543520
751220663524
oct12730336250
93704520533
101466023080
11692593925
1234ab74ba0
131a49570a2
14dc9bad84
1588a87320
hex5761bca8

1466023080 has 256 divisors, whose sum is σ = 4750099200. Its totient is φ = 361267200.

The previous prime is 1466023079. The next prime is 1466023081. The reversal of 1466023080 is 803206641.

It is an interprime number because it is at equal distance from previous prime (1466023079) and next prime (1466023081).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1466023081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14515030 + ... + 14515130.

It is an arithmetic number, because the mean of its divisors is an integer number (18555075).

Almost surely, 21466023080 is an apocalyptic number.

1466023080 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 1466023080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375049600).

1466023080 is an abundant number, since it is smaller than the sum of its proper divisors (3284076120).

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

1466023080 is a wasteful number, since it uses less digits than its factorization.

1466023080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1466023080 is about 38288.6808338966. The cubic root of 1466023080 is about 1136.0050688295.

The spelling of 1466023080 in words is "one billion, four hundred sixty-six million, twenty-three thousand, eighty".