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1022420 = 225767109
BaseRepresentation
bin11111001100111010100
31220221111102
43321213110
5230204140
633525232
711455550
oct3714724
91827442
101022420
11639183
12413818
1329a4a9
141c8860
15152e15
hexf99d4

1022420 has 48 divisors (see below), whose sum is σ = 2513280. Its totient is φ = 342144.

The previous prime is 1022389. The next prime is 1022429. The reversal of 1022420 is 242201.

1022420 = T224 + T225 + ... + T258.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9326 + ... + 9434.

It is an arithmetic number, because the mean of its divisors is an integer number (52360).

21022420 is an apocalyptic number.

1022420 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 1022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256640).

1022420 is an abundant number, since it is smaller than the sum of its proper divisors (1490860).

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

1022420 is a wasteful number, since it uses less digits than its factorization.

1022420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1022420 is about 1011.1478625799. The cubic root of 1022420 is about 100.7418168044.

Adding to 1022420 its reverse (242201), we get a palindrome (1264621).

It can be divided in two parts, 10224 and 20, that multiplied together give a triangular number (204480 = T639).

The spelling of 1022420 in words is "one million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 109 134 140 218 268 335 436 469 545 670 763 938 1090 1340 1526 1876 2180 2345 3052 3815 4690 7303 7630 9380 14606 15260 29212 36515 51121 73030 102242 146060 204484 255605 511210 1022420