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1985220 = 2232541269
BaseRepresentation
bin111100100101011000100
310201212012200
413210223010
51002011340
6110314500
722605546
oct7445304
93655180
101985220
111136586
127b8a30
135467b3
14399696
15293330
hex1e4ac4

1985220 has 72 divisors (see below), whose sum is σ = 6191640. Its totient is φ = 514560.

The previous prime is 1985219. The next prime is 1985227. The reversal of 1985220 is 225891.

It can be written as a sum of positive squares in 4 ways, for example, as 97344 + 1887876 = 312^2 + 1374^2 .

It is not an unprimeable number, because it can be changed into a prime (1985227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7246 + ... + 7514.

It is an arithmetic number, because the mean of its divisors is an integer number (85995).

21985220 is an apocalyptic number.

1985220 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 1985220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095820).

1985220 is an abundant number, since it is smaller than the sum of its proper divisors (4206420).

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

1985220 is a wasteful number, since it uses less digits than its factorization.

1985220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1985220 is about 1408.9783532759. The cubic root of 1985220 is about 125.6809767617.

The spelling of 1985220 in words is "one million, nine hundred eighty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 269 369 410 492 538 615 738 807 820 1076 1230 1345 1476 1614 1845 2421 2460 2690 3228 3690 4035 4842 5380 7380 8070 9684 11029 12105 16140 22058 24210 33087 44116 48420 55145 66174 99261 110290 132348 165435 198522 220580 330870 397044 496305 661740 992610 1985220