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420420204020 = 22531382981013
BaseRepresentation
bin1100001111000101111…
…11110011010111110100
31111012011210210012210102
412013202333303113310
523342010033012040
6521045520013232
742242255525345
oct6074277632764
91435153705712
10420420204020
11152332276973
1269591a61218
13308510ac7bb
14164c41cc0cc
15ae094b9515
hex61e2ff35f4

420420204020 has 48 divisors (see below), whose sum is σ = 886782484560. Its totient is φ = 167426528256.

The previous prime is 420420203999. The next prime is 420420204049. The reversal of 420420204020 is 20402024024.

It can be written as a sum of positive squares in 8 ways, for example, as 170887984996 + 249532219024 = 413386^2 + 499532^2 .

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 = 420420203983 and 420420204001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5149034 + ... + 5230046.

It is an arithmetic number, because the mean of its divisors is an integer number (18474635095).

Almost surely, 2420420204020 is an apocalyptic number.

It is an amenable number.

420420204020 is an abundant number, since it is smaller than the sum of its proper divisors (466362280540).

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

420420204020 is a wasteful number, since it uses less digits than its factorization.

420420204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82164 (or 82162 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 420420204020 its reverse (20402024024), we get a palindrome (440822228044).

The spelling of 420420204020 in words is "four hundred twenty billion, four hundred twenty million, two hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 313 626 829 1252 1565 1658 3130 3316 4145 6260 8290 16580 81013 162026 259477 324052 405065 518954 810130 1037908 1297385 1620260 2594770 5189540 25357069 50714138 67159777 101428276 126785345 134319554 253570690 268639108 335798885 507141380 671597770 1343195540 21021010201 42042020402 84084040804 105105051005 210210102010 420420204020