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1980468 = 2232729271
BaseRepresentation
bin111100011100000110100
310201121200200
413203200310
51001333333
6110240500
722555650
oct7434064
93647620
101980468
111132a56
127b6130
13544599
14397a60
15291c13
hex1e3834

1980468 has 72 divisors (see below), whose sum is σ = 5940480. Its totient is φ = 544320.

The previous prime is 1980443. The next prime is 1980469. The reversal of 1980468 is 8640891.

It is a happy number.

1980468 is a `hidden beast` number, since 198 + 0 + 468 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980469) 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, 7173 + ... + 7443.

21980468 is an apocalyptic number.

1980468 is a gapful number since it is divisible by the number (18) 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 1980468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970240).

1980468 is an abundant number, since it is smaller than the sum of its proper divisors (3960012).

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

1980468 is a wasteful number, since it uses less digits than its factorization.

1980468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1980468 is about 1407.2910146803. The cubic root of 1980468 is about 125.5806162360.

The spelling of 1980468 in words is "one million, nine hundred eighty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 271 348 406 522 542 609 812 813 1044 1084 1218 1626 1827 1897 2436 2439 3252 3654 3794 4878 5691 7308 7588 7859 9756 11382 15718 17073 22764 23577 31436 34146 47154 55013 68292 70731 94308 110026 141462 165039 220052 282924 330078 495117 660156 990234 1980468