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2070376020 = 2232511502089
BaseRepresentation
bin111101101100111…
…0110111001010100
312100021202222222100
41323121312321110
513220004013040
6541235202100
7102206622456
oct17331667124
95307688870
102070376020
11972745169
12499446330
1326cc1808b
14158d782d6
15c1b64b30
hex7b676e54

2070376020 has 36 divisors (see below), whose sum is σ = 6280141140. Its totient is φ = 552100224.

The previous prime is 2070376003. The next prime is 2070376039. The reversal of 2070376020 is 206730702.

2070376020 is a `hidden beast` number, since 20 + 7 + 0 + 37 + 602 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 255104784 + 1815271236 = 15972^2 + 42606^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5750865 + ... + 5751224.

It is an arithmetic number, because the mean of its divisors is an integer number (174448365).

Almost surely, 22070376020 is an apocalyptic number.

2070376020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2070376020 is an abundant number, since it is smaller than the sum of its proper divisors (4209765120).

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

2070376020 is a wasteful number, since it uses less digits than its factorization.

2070376020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11502104 (or 11502099 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2070376020 is about 45501.3848140911. The cubic root of 2070376020 is about 1274.5290625222.

The spelling of 2070376020 in words is "two billion, seventy million, three hundred seventy-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11502089 23004178 34506267 46008356 57510445 69012534 103518801 115020890 138025068 172531335 207037602 230041780 345062670 414075204 517594005 690125340 1035188010 2070376020