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420062031 = 3413937309
BaseRepresentation
bin11001000010011…
…010001101001111
31002021102100210000
4121002122031033
51330013441111
6105403215343
713260316434
oct3102321517
91067370700
10420062031
111a6128904
12b8817553
136904701c
143db07b8b
1526d27c56
hex1909a34f

420062031 has 20 divisors (see below), whose sum is σ = 632031400. Its totient is φ = 278019216.

The previous prime is 420062029. The next prime is 420062033. The reversal of 420062031 is 130260024.

It is a happy number.

420062031 is a `hidden beast` number, since 42 + 0 + 0 + 620 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (420062029) and next prime (420062033).

It is not a de Polignac number, because 420062031 - 21 = 420062029 is a prime.

It is a super-2 number, since 2×4200620312 = 352904219775689922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420061995 and 420062013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420062033) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7396 + ... + 29913.

It is an arithmetic number, because the mean of its divisors is an integer number (31601570).

Almost surely, 2420062031 is an apocalyptic number.

420062031 is a deficient number, since it is larger than the sum of its proper divisors (211969369).

420062031 is a wasteful number, since it uses less digits than its factorization.

420062031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37460 (or 37451 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 420062031 is about 20495.4148774793. The cubic root of 420062031 is about 748.9241053389.

It can be divided in two parts, 4200620 and 31, that added together give a triangular number (4200651 = T2898).

The spelling of 420062031 in words is "four hundred twenty million, sixty-two thousand, thirty-one".

Divisors: 1 3 9 27 81 139 417 1251 3753 11259 37309 111927 335781 1007343 3022029 5185951 15557853 46673559 140020677 420062031