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1024502420 = 225193118669
BaseRepresentation
bin111101000100001…
…010101010010100
32122101210010010002
4331010022222110
54044233034140
6245354350432
734250061344
oct7504125224
92571703102
101024502420
11486339917
1224712b418
13134338a66
149a0c8d24
155ee21415
hex3d10aa94

1024502420 has 48 divisors (see below), whose sum is σ = 2272233600. Its totient is φ = 386939520.

The previous prime is 1024502411. The next prime is 1024502429. The reversal of 1024502420 is 242054201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1024502411) and next prime (1024502429).

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 = 1024502392 and 1024502401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024502429) 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, 113846 + ... + 122514.

It is an arithmetic number, because the mean of its divisors is an integer number (47338200).

Almost surely, 21024502420 is an apocalyptic number.

1024502420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024502420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136116800).

1024502420 is an abundant number, since it is smaller than the sum of its proper divisors (1247731180).

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

1024502420 is a wasteful number, since it uses less digits than its factorization.

1024502420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9008 (or 9006 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1024502420 is about 32007.8493498079. The cubic root of 1024502420 is about 1008.1016591957.

Adding to 1024502420 its reverse (242054201), we get a palindrome (1266556621).

The spelling of 1024502420 in words is "one billion, twenty-four million, five hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 311 380 622 1244 1555 3110 5909 6220 8669 11818 17338 23636 29545 34676 43345 59090 86690 118180 164711 173380 329422 658844 823555 1647110 2696059 3294220 5392118 10784236 13480295 26960590 51225121 53921180 102450242 204900484 256125605 512251210 1024502420