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94930920 = 23335729433
BaseRepresentation
bin1011010100010…
…00011111101000
320121121222202000
411222020133220
5143300242140
613230411000
72231620350
oct552103750
9217558660
1094930920
114964a007
1227960a60
131688a456
14c871b60
158502a30
hex5a887e8

94930920 has 256 divisors, whose sum is σ = 374976000. Its totient is φ = 20901888.

The previous prime is 94930909. The next prime is 94930921. The reversal of 94930920 is 2903949.

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 (94930921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219024 + ... + 219456.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 294930920 is an apocalyptic number.

94930920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

94930920 is the 4872-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94930920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

94930920 is an abundant number, since it is smaller than the sum of its proper divisors (280045080).

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

94930920 is a wasteful number, since it uses less digits than its factorization.

94930920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 94930920 is about 9743.2499711339. The cubic root of 94930920 is about 456.1796383646.

The spelling of 94930920 in words is "ninety-four million, nine hundred thirty thousand, nine hundred twenty".