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2030210952 = 2337111967863
BaseRepresentation
bin111100100000010…
…1000111110001000
312020111012101212020
41321000220332020
513124213222302
6533242244440
7101211336240
oct17100507610
95214171766
102030210952
119520015a0
12487ab6720
132647c4373
141538c0b20
15bd37debc
hex79028f88

2030210952 has 256 divisors, whose sum is σ = 6768230400. Its totient is φ = 491546880.

The previous prime is 2030210939. The next prime is 2030210977. The reversal of 2030210952 is 2590120302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 2352073 + ... + 2352935.

It is an arithmetic number, because the mean of its divisors is an integer number (26438400).

Almost surely, 22030210952 is an apocalyptic number.

2030210952 is a gapful number since it is divisible by the number (22) 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 2030210952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384115200).

2030210952 is an abundant number, since it is smaller than the sum of its proper divisors (4738019448).

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

2030210952 is a wasteful number, since it uses less digits than its factorization.

2030210952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2030210952 is about 45057.8622662017. The cubic root of 2030210952 is about 1266.2332751233.

The spelling of 2030210952 in words is "two billion, thirty million, two hundred ten thousand, nine hundred fifty-two".