Search a number
-
+
421310032 = 241113593121
BaseRepresentation
bin11001000111001…
…010111001010000
31002100202202201021
4121013022321100
51330323410112
6105450045224
713304035063
oct3107127120
91070682637
10421310032
111a6900510
12b9119814
13693930a0
143dd508da
1526ec2907
hex191cae50

421310032 has 80 divisors (see below), whose sum is σ = 975562560. Its totient is φ = 173721600.

The previous prime is 421310027. The next prime is 421310033. The reversal of 421310032 is 230013124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 421309988 and 421310015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421310033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133432 + ... + 136552.

It is an arithmetic number, because the mean of its divisors is an integer number (12194532).

Almost surely, 2421310032 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 421310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487781280).

421310032 is an abundant number, since it is smaller than the sum of its proper divisors (554252528).

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

421310032 is a wasteful number, since it uses less digits than its factorization.

421310032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 421310032 is about 20525.8381558464. The cubic root of 421310032 is about 749.6650545858.

Adding to 421310032 its reverse (230013124), we get a palindrome (651323156).

The spelling of 421310032 in words is "four hundred twenty-one million, three hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 59 88 104 118 143 176 208 236 286 472 572 649 767 944 1144 1298 1534 2288 2596 3068 3121 5192 6136 6242 8437 10384 12272 12484 16874 24968 33748 34331 40573 49936 67496 68662 81146 134992 137324 162292 184139 274648 324584 368278 446303 549296 649168 736556 892606 1473112 1785212 2025529 2393807 2946224 3570424 4051058 4787614 7140848 8102116 9575228 16204232 19150456 26331877 32408464 38300912 52663754 105327508 210655016 421310032