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701380000 = 255435069
BaseRepresentation
bin101001110011100…
…011010110100000
31210212202210111001
4221303203112200
52414023130000
6153333001344
723244426436
oct5163432640
91725683431
10701380000
1132aa021a2
12176a83254
13b2403569
1469216d56
154189646a
hex29ce35a0

701380000 has 60 divisors (see below), whose sum is σ = 1725549210. Its totient is φ = 280544000.

The previous prime is 701379997. The next prime is 701380007. The reversal of 701380000 is 83107.

It can be written as a sum of positive squares in 5 ways, for example, as 131698576 + 569681424 = 11476^2 + 23868^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 701380000.

It is not an unprimeable number, because it can be changed into a prime (701380007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2466 + ... + 37534.

Almost surely, 2701380000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 701380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862774605).

701380000 is an abundant number, since it is smaller than the sum of its proper divisors (1024169210).

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

701380000 is an equidigital number, since it uses as much as digits as its factorization.

701380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35099 (or 35076 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 701380000 is about 26483.5798184460. The cubic root of 701380000 is about 888.4870985050.

The spelling of 701380000 in words is "seven hundred one million, three hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 35069 70138 140276 175345 280552 350690 561104 701380 876725 1122208 1402760 1753450 2805520 3506900 4383625 5611040 7013800 8767250 14027600 17534500 21918125 28055200 35069000 43836250 70138000 87672500 140276000 175345000 350690000 701380000