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1980528 = 24311331
BaseRepresentation
bin111100011100001110000
310201121202220
413203201300
51001334103
6110241040
722556064
oct7434160
93647686
101980528
111133000
127b6180
13544614
14397aa4
15291c53
hex1e3870

1980528 has 80 divisors (see below), whose sum is σ = 5809152. Its totient is φ = 580800.

The previous prime is 1980523. The next prime is 1980529. The reversal of 1980528 is 8250891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2 and base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980521) 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, 63873 + ... + 63903.

21980528 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 1980528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904576).

1980528 is an abundant number, since it is smaller than the sum of its proper divisors (3828624).

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

1980528 is a wasteful number, since it uses less digits than its factorization.

1980528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1980528 is about 1407.3123320713. The cubic root of 1980528 is about 125.5818844145.

The spelling of 1980528 in words is "one million, nine hundred eighty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 121 124 132 176 186 242 248 264 341 363 372 484 496 528 682 726 744 968 1023 1331 1364 1452 1488 1936 2046 2662 2728 2904 3751 3993 4092 5324 5456 5808 7502 7986 8184 10648 11253 15004 15972 16368 21296 22506 30008 31944 41261 45012 60016 63888 82522 90024 123783 165044 180048 247566 330088 495132 660176 990264 1980528