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1013220 = 2232513433
BaseRepresentation
bin11110111010111100100
31220110212200
43313113210
5224410340
633414500
711416665
oct3672744
91813780
101013220
1163227a
1240a430
13296250
141c536c
15150330
hexf75e4

1013220 has 72 divisors (see below), whose sum is σ = 3317496. Its totient is φ = 248832.

The previous prime is 1013203. The next prime is 1013227. The reversal of 1013220 is 223101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 1004004 = 96^2 + 1002^2 .

It is a super-2 number, since 2×10132202 = 2053229536800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1013227) 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 23 ways as a sum of consecutive naturals, for example, 2124 + ... + 2556.

21013220 is an apocalyptic number.

1013220 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 1013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658748).

1013220 is an abundant number, since it is smaller than the sum of its proper divisors (2304276).

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

1013220 is a wasteful number, since it uses less digits than its factorization.

1013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1013220 is about 1006.5882971702. The cubic root of 1013220 is about 100.4387389330.

Adding to 1013220 its reverse (223101), we get a palindrome (1236321).

It can be divided in two parts, 101 and 3220, that added together give a triangular number (3321 = T81).

The spelling of 1013220 in words is "one million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 433 468 585 780 866 1170 1299 1732 2165 2340 2598 3897 4330 5196 5629 6495 7794 8660 11258 12990 15588 16887 19485 22516 25980 28145 33774 38970 50661 56290 67548 77940 84435 101322 112580 168870 202644 253305 337740 506610 1013220