Search a number
-
+
460021122 = 2321117197193
BaseRepresentation
bin11011011010110…
…101110110000010
31012001121111100100
4123122311312002
51420231133442
6113351503230
714254054311
oct3332656602
91161544310
10460021122
11216740750
1210a087b16
13743c8062
144514a278
152a5bc84c
hex1b6b5d82

460021122 has 96 divisors (see below), whose sum is σ = 1212045120. Its totient is φ = 124277760.

The previous prime is 460021099. The next prime is 460021127. The reversal of 460021122 is 221120064.

It is a super-2 number, since 2×4600211222 = 423238865372277768, which contains 22 as substring.

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 = 460021095 and 460021104.

It is not an unprimeable number, because it can be changed into a prime (460021127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60358 + ... + 67550.

It is an arithmetic number, because the mean of its divisors is an integer number (12625470).

Almost surely, 2460021122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460021122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606022560).

460021122 is an abundant number, since it is smaller than the sum of its proper divisors (752023998).

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

460021122 is a wasteful number, since it uses less digits than its factorization.

460021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7248 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 460021122 is about 21448.1029930388. The cubic root of 460021122 is about 771.9560779776.

Adding to 460021122 its reverse (221120064), we get a palindrome (681141186).

The spelling of 460021122 in words is "four hundred sixty million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 19 22 33 34 38 51 57 66 99 102 114 153 171 187 198 209 306 323 342 374 418 561 627 646 969 1122 1254 1683 1881 1938 2907 3366 3553 3762 5814 7106 7193 10659 14386 21318 21579 31977 43158 63954 64737 79123 122281 129474 136667 158246 237369 244562 273334 366843 410001 474738 712107 733686 820002 1100529 1230003 1345091 1424214 1503337 2201058 2323339 2460006 2690182 3006674 4035273 4510011 4646678 6970017 8070546 9020022 12105819 13530033 13940034 20910051 24211638 25556729 27060066 41820102 51113458 76670187 153340374 230010561 460021122