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401705000 = 235480341
BaseRepresentation
bin10111111100011…
…000100000101000
31000222212201122222
4113330120200220
51310314030000
6103505533212
712645302414
oct2774304050
91028781588
10401705000
1119682aa04
12b2644208
13652ba688
143b4c9d44
15253eda85
hex17f18828

401705000 has 40 divisors (see below), whose sum is σ = 941206530. Its totient is φ = 160680000.

The previous prime is 401704993. The next prime is 401705021. The reversal of 401705000 is 507104.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 40780996 + 360924004 = 6386^2 + 18998^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4017050002 = 322733814050000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401705000.

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 9 ways as a sum of consecutive naturals, for example, 35171 + ... + 45170.

Almost surely, 2401705000 is an apocalyptic number.

401705000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401705000 is an abundant number, since it is smaller than the sum of its proper divisors (539501530).

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

401705000 is an equidigital number, since it uses as much as digits as its factorization.

401705000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80367 (or 80348 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 401705000 is about 20042.5796742834. The cubic root of 401705000 is about 737.8516947508.

The spelling of 401705000 in words is "four hundred one million, seven hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 80341 160682 321364 401705 642728 803410 1606820 2008525 3213640 4017050 8034100 10042625 16068200 20085250 40170500 50213125 80341000 100426250 200852500 401705000