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1980048 = 24377183
BaseRepresentation
bin111100011011010010000
310201121010010
413203122100
51001330143
6110234520
722554510
oct7433220
93647103
101980048
111132704
127b5a40
13544335
14397840
15291a33
hex1e3690

1980048 has 80 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 551040.

The previous prime is 1980031. The next prime is 1980053. The reversal of 1980048 is 8400891.

It is a happy number.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 1979997 and 1980024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23815 + ... + 23897.

21980048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).

1980048 is an abundant number, since it is smaller than the sum of its proper divisors (4019568).

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

1980048 is a wasteful number, since it uses less digits than its factorization.

1980048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1980048 is about 1407.1417839010. The cubic root of 1980048 is about 125.5717382691.

The spelling of 1980048 in words is "one million, nine hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 83 84 112 142 166 168 213 249 284 332 336 426 497 498 568 581 664 852 994 996 1136 1162 1328 1491 1704 1743 1988 1992 2324 2982 3408 3486 3976 3984 4648 5893 5964 6972 7952 9296 11786 11928 13944 17679 23572 23856 27888 35358 41251 47144 70716 82502 94288 123753 141432 165004 247506 282864 330008 495012 660016 990024 1980048