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401432420 = 22522987649
BaseRepresentation
bin10111111011010…
…101111101100100
31000222100212202102
4113323111331210
51310231314140
6103500031232
712643055624
oct2773257544
91028325672
10401432420
11196664134
12b2532518
136522359c
143b458884
1525397e15
hex17ed5f64

401432420 has 24 divisors (see below), whose sum is σ = 846699000. Its totient is φ = 159869952.

The previous prime is 401432419. The next prime is 401432459. The reversal of 401432420 is 24234104.

It can be written as a sum of positive squares in 4 ways, for example, as 96510976 + 304921444 = 9824^2 + 17462^2 .

It is a super-2 number, since 2×4014324202 = 322295975654112800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 401432392 and 401432401.

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 7 ways as a sum of consecutive naturals, for example, 39245 + ... + 48404.

It is an arithmetic number, because the mean of its divisors is an integer number (35279125).

Almost surely, 2401432420 is an apocalyptic number.

It is an amenable number.

401432420 is an abundant number, since it is smaller than the sum of its proper divisors (445266580).

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

401432420 is a wasteful number, since it uses less digits than its factorization.

401432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87887 (or 87885 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 401432420 is about 20035.7784974780. The cubic root of 401432420 is about 737.6847653512.

Adding to 401432420 its reverse (24234104), we get a palindrome (425666524).

The spelling of 401432420 in words is "four hundred one million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 2290 4580 87649 175298 350596 438245 876490 1752980 20071621 40143242 80286484 100358105 200716210 401432420