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1980120 = 233529569
BaseRepresentation
bin111100011011011011000
310201121012210
413203123120
51001330440
6110235120
722554642
oct7433330
93647183
101980120
11113276a
127b5aa0
1354438c
14397892
15291a80
hex1e36d8

1980120 has 64 divisors (see below), whose sum is σ = 6156000. Its totient is φ = 508928.

The previous prime is 1980113. The next prime is 1980169. The reversal of 1980120 is 210891.

It is a nialpdrome in base 8.

It is a congruent number.

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, 3196 + ... + 3764.

21980120 is an apocalyptic number.

1980120 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 1980120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078000).

1980120 is an abundant number, since it is smaller than the sum of its proper divisors (4175880).

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

1980120 is a wasteful number, since it uses less digits than its factorization.

1980120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 1980120 is about 1407.1673674443. The cubic root of 1980120 is about 125.5732602954.

The spelling of 1980120 in words is "one million, nine hundred eighty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 569 580 696 870 1138 1160 1707 1740 2276 2845 3414 3480 4552 5690 6828 8535 11380 13656 16501 17070 22760 33002 34140 49503 66004 68280 82505 99006 132008 165010 198012 247515 330020 396024 495030 660040 990060 1980120