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1991616 = 263112341
BaseRepresentation
bin111100110001111000000
310202011222120
413212033000
51002212431
6110404240
722633314
oct7461700
93664876
101991616
111140370
12800680
13549693
1439bb44
15295196
hex1e63c0

1991616 has 112 divisors (see below), whose sum is σ = 6144768. Its totient is φ = 563200.

The previous prime is 1991609. The next prime is 1991617. The reversal of 1991616 is 6161991.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1991617) 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, 48556 + ... + 48596.

It is an arithmetic number, because the mean of its divisors is an integer number (54864).

21991616 is an apocalyptic number.

1991616 is a gapful number since it is divisible by the number (16) 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 1991616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072384).

1991616 is an abundant number, since it is smaller than the sum of its proper divisors (4153152).

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

1991616 is a wasteful number, since it uses less digits than its factorization.

1991616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its digits is 2916, while the sum is 33.

The square root of 1991616 is about 1411.2462577453. The cubic root of 1991616 is about 125.8158054422.

The spelling of 1991616 in words is "one million, nine hundred ninety-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 41 44 46 48 64 66 69 82 88 92 96 123 132 138 164 176 184 192 246 253 264 276 328 352 368 451 492 506 528 552 656 704 736 759 902 943 984 1012 1056 1104 1312 1353 1472 1518 1804 1886 1968 2024 2112 2208 2624 2706 2829 3036 3608 3772 3936 4048 4416 5412 5658 6072 7216 7544 7872 8096 10373 10824 11316 12144 14432 15088 16192 20746 21648 22632 24288 28864 30176 31119 41492 43296 45264 48576 60352 62238 82984 86592 90528 124476 165968 181056 248952 331936 497904 663872 995808 1991616