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1022472 = 2332111291
BaseRepresentation
bin11111001101000001000
31220221120100
43321220020
5230204342
633525400
711455653
oct3715010
91827510
101022472
11639220
12413860
1329a519
141c889a
15152e4c
hexf9a08

1022472 has 48 divisors (see below), whose sum is σ = 3023280. Its totient is φ = 309600.

The previous prime is 1022467. The next prime is 1022491. The reversal of 1022472 is 2742201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147 + ... + 1437.

It is an arithmetic number, because the mean of its divisors is an integer number (62985).

21022472 is an apocalyptic number.

1022472 is a gapful number since it is divisible by the number (12) 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 1022472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511640).

1022472 is an abundant number, since it is smaller than the sum of its proper divisors (2000808).

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

1022472 is a wasteful number, since it uses less digits than its factorization.

1022472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1022472 is about 1011.1735756041. The cubic root of 1022472 is about 100.7435246758.

Adding to 1022472 its reverse (2742201), we get a palindrome (3764673).

It can be divided in two parts, 10224 and 72, that added together give a triangular number (10296 = T143).

The spelling of 1022472 in words is "one million, twenty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1291 2582 3873 5164 7746 10328 11619 14201 15492 23238 28402 30984 42603 46476 56804 85206 92952 113608 127809 170412 255618 340824 511236 1022472