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420004278 = 2341728971
BaseRepresentation
bin11001000010001…
…100000110110110
31002021022102120000
4121002030012312
51330010114103
6105402052130
713256656161
oct3102140666
91067272500
10420004278
111a6099481
12b87aa046
1369026955
143dad0ad8
1526d15aa3
hex1908c1b6

420004278 has 60 divisors (see below), whose sum is σ = 999848652. Its totient is φ = 131751360.

The previous prime is 420004241. The next prime is 420004301. The reversal of 420004278 is 872400024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 42333 + ... + 51303.

Almost surely, 2420004278 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420004278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499924326).

420004278 is an abundant number, since it is smaller than the sum of its proper divisors (579844374).

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

420004278 is a wasteful number, since it uses less digits than its factorization.

420004278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9019 (or 8993 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 420004278 is about 20494.0059041662. The cubic root of 420004278 is about 748.8897813637.

The spelling of 420004278 in words is "four hundred twenty million, four thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 289 306 459 578 867 918 1377 1734 2601 2754 5202 7803 8971 15606 17942 23409 26913 46818 53826 80739 152507 161478 242217 305014 457521 484434 726651 915042 1372563 1453302 2592619 2745126 4117689 5185238 7777857 8235378 12353067 15555714 23333571 24706134 46667142 70000713 140001426 210002139 420004278