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1980024 = 2331723211
BaseRepresentation
bin111100011011001111000
310201121002020
413203121320
51001330044
6110234440
722554444
oct7433170
93647066
101980024
111132692
127b5a20
13544317
14397824
15291a19
hex1e3678

1980024 has 64 divisors (see below), whose sum is σ = 5495040. Its totient is φ = 591360.

The previous prime is 1980023. The next prime is 1980029. The reversal of 1980024 is 4200891.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 1979976 and 1980003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9279 + ... + 9489.

It is an arithmetic number, because the mean of its divisors is an integer number (85860).

21980024 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 1980024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747520).

1980024 is an abundant number, since it is smaller than the sum of its proper divisors (3515016).

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

1980024 is a wasteful number, since it uses less digits than its factorization.

1980024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1980024 is about 1407.1332559498. The cubic root of 1980024 is about 125.5712309188.

The spelling of 1980024 in words is "one million, nine hundred eighty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 211 276 391 408 422 552 633 782 844 1173 1266 1564 1688 2346 2532 3128 3587 4692 4853 5064 7174 9384 9706 10761 14348 14559 19412 21522 28696 29118 38824 43044 58236 82501 86088 116472 165002 247503 330004 495006 660008 990012 1980024