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2097010080 = 253351144129
BaseRepresentation
bin111110011111101…
…1101010110100000
312102010220011001000
41330333131112200
513243313310310
6544030112000
7102652202004
oct17477352640
95363804030
102097010080
11986786790
124a634b600
132755b1c89
1415c70c704
15c41764c0
hex7cfdd5a0

2097010080 has 192 divisors, whose sum is σ = 8006947200. Its totient is φ = 508354560.

The previous prime is 2097010033. The next prime is 2097010081. The reversal of 2097010080 is 800107902.

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

It is not an unprimeable number, because it can be changed into a prime (2097010081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25456 + ... + 69584.

It is an arithmetic number, because the mean of its divisors is an integer number (41702850).

Almost surely, 22097010080 is an apocalyptic number.

2097010080 is a gapful number since it is divisible by the number (20) 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 2097010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003473600).

2097010080 is an abundant number, since it is smaller than the sum of its proper divisors (5909937120).

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

2097010080 is a wasteful number, since it uses less digits than its factorization.

2097010080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44164 (or 44150 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2097010080 is about 45793.1226277484. The cubic root of 2097010080 is about 1279.9711256507.

Adding to 2097010080 its reverse (800107902), we get a palindrome (2897117982).

The spelling of 2097010080 in words is "two billion, ninety-seven million, ten thousand, eighty".