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420403122 = 2351974391
BaseRepresentation
bin11001000011101…
…101011110110010
31002022001200200000
4121003231132302
51330110344442
6105414410430
713263240036
oct3103553662
91068050600
10420403122
111a63410a7
12b8960a16
1369136359
143db961c6
1526d93d4c
hex190ed7b2

420403122 has 48 divisors (see below), whose sum is σ = 949620672. Its totient is φ = 139391280.

The previous prime is 420403103. The next prime is 420403127. The reversal of 420403122 is 221304024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420403095 and 420403104.

It is not an unprimeable number, because it can be changed into a prime (420403127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93547 + ... + 97937.

It is an arithmetic number, because the mean of its divisors is an integer number (19783764).

Almost surely, 2420403122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420403122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474810336).

420403122 is an abundant number, since it is smaller than the sum of its proper divisors (529217550).

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

420403122 is a wasteful number, since it uses less digits than its factorization.

420403122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4605 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420403122 is about 20503.7343427972. The cubic root of 420403122 is about 749.1267596630.

Adding to 420403122 its reverse (221304024), we get a palindrome (641707146).

The spelling of 420403122 in words is "four hundred twenty million, four hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 197 243 394 486 591 1182 1773 3546 4391 5319 8782 10638 13173 15957 26346 31914 39519 47871 79038 95742 118557 237114 355671 711342 865027 1067013 1730054 2134026 2595081 5190162 7785243 15570486 23355729 46711458 70067187 140134374 210201561 420403122