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2030477000 = 235313714821
BaseRepresentation
bin111100100000110…
…1001111011001000
312020111200220210212
41321001221323020
513124300231000
6533252100252
7101213525006
oct17101517310
95214626725
102030477000
11952173472
12488004688
132648884a6
1415394da76
15bd3d2c35
hex79069ec8

2030477000 has 64 divisors (see below), whose sum is σ = 4786320240. Its totient is φ = 806208000.

The previous prime is 2030476997. The next prime is 2030477003. The reversal of 2030477000 is 7740302.

It is an interprime number because it is at equal distance from previous prime (2030476997) and next prime (2030477003).

It can be written as a sum of positive squares in 8 ways, for example, as 74891716 + 1955585284 = 8654^2 + 44222^2 .

It is not an unprimeable number, because it can be changed into a prime (2030477003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129590 + ... + 144410.

Almost surely, 22030477000 is an apocalyptic number.

2030477000 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 2030477000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393160120).

2030477000 is an abundant number, since it is smaller than the sum of its proper divisors (2755843240).

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

2030477000 is a wasteful number, since it uses less digits than its factorization.

2030477000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14979 (or 14965 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 2030477000 is about 45060.8144622354. The cubic root of 2030477000 is about 1266.2885836805.

The spelling of 2030477000 in words is "two billion, thirty million, four hundred seventy-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 137 200 250 274 500 548 685 1000 1096 1370 2740 3425 5480 6850 13700 14821 17125 27400 29642 34250 59284 68500 74105 118568 137000 148210 296420 370525 592840 741050 1482100 1852625 2030477 2964200 3705250 4060954 7410500 8121908 10152385 14821000 16243816 20304770 40609540 50761925 81219080 101523850 203047700 253809625 406095400 507619250 1015238500 2030477000