[go: up one dir, main page]

Search a number
-
+
402101424 = 243213920089
BaseRepresentation
bin10111111101111…
…001010010110000
31001000121212110100
4113331321102300
51310414221144
6103522232400
712651543234
oct2775712260
91030555410
10402101424
11196a8082a
12b27b5700
13653c8c4a
143b5905c4
152547b269
hex17f794b0

402101424 has 60 divisors (see below), whose sum is σ = 1133477800. Its totient is φ = 133062912.

The previous prime is 402101419. The next prime is 402101449. The reversal of 402101424 is 424101204.

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 = 402101397 and 402101406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9972 + ... + 30060.

Almost surely, 2402101424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402101424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566738900).

402101424 is an abundant number, since it is smaller than the sum of its proper divisors (731376376).

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

402101424 is a wasteful number, since it uses less digits than its factorization.

402101424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20242 (or 20233 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 402101424 is about 20052.4667809225. The cubic root of 402101424 is about 738.0943321373.

Adding to 402101424 its reverse (424101204), we get a palindrome (826202628).

The spelling of 402101424 in words is "four hundred two million, one hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 6672 10008 20016 20089 40178 60267 80356 120534 160712 180801 241068 321424 361602 482136 723204 964272 1446408 2792371 2892816 5584742 8377113 11169484 16754226 22338968 25131339 33508452 44677936 50262678 67016904 100525356 134033808 201050712 402101424