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1049220 = 223352967
BaseRepresentation
bin100000000001010000100
31222022021000
410000022010
5232033340
634253300
711626644
oct4001204
91868230
101049220
11657327
12427230
132a9753
141d4524
1515ad30
hex100284

1049220 has 96 divisors (see below), whose sum is σ = 3427200. Its totient is φ = 266112.

The previous prime is 1049219. The next prime is 1049227. The reversal of 1049220 is 229401.

It is a super-2 number, since 2×10492202 = 2201725216800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1049193 and 1049202.

It is not an unprimeable number, because it can be changed into a prime (1049227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15627 + ... + 15693.

It is an arithmetic number, because the mean of its divisors is an integer number (35700).

21049220 is an apocalyptic number.

1049220 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 1049220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713600).

1049220 is an abundant number, since it is smaller than the sum of its proper divisors (2377980).

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

1049220 is a wasteful number, since it uses less digits than its factorization.

1049220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1049220 is about 1024.3144048582. The cubic root of 1049220 is about 101.6144615371.

Subtracting from 1049220 its product of nonzero digits (144), we obtain a triangular number (1049076 = T1448).

The spelling of 1049220 in words is "one million, forty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 67 87 90 108 116 134 135 145 174 180 201 261 268 270 290 335 348 402 435 522 540 580 603 670 783 804 870 1005 1044 1206 1305 1340 1566 1740 1809 1943 2010 2412 2610 3015 3132 3618 3886 3915 4020 5220 5829 6030 7236 7772 7830 9045 9715 11658 12060 15660 17487 18090 19430 23316 29145 34974 36180 38860 52461 58290 69948 87435 104922 116580 174870 209844 262305 349740 524610 1049220