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19962880 = 21057557
BaseRepresentation
bin100110000100…
…1110000000000
31101120012220221
41030021300000
520102303010
61551512424
7331452550
oct114116000
941505827
1019962880
11102a5453
126828714
13419c572
142919160
151b44dda
hex1309c00

19962880 has 88 divisors (see below), whose sum is σ = 54826848. Its totient is φ = 6832128.

The previous prime is 19962841. The next prime is 19962893. The reversal of 19962880 is 8826991.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35562 + ... + 36118.

Almost surely, 219962880 is an apocalyptic number.

19962880 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 19962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27413424).

19962880 is an abundant number, since it is smaller than the sum of its proper divisors (34863968).

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

19962880 is an equidigital number, since it uses as much as digits as its factorization.

19962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 19962880 is about 4467.9838853783. The cubic root of 19962880 is about 271.2737256884.

The spelling of 19962880 in words is "nineteen million, nine hundred sixty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 557 560 640 896 1024 1114 1120 1280 1792 2228 2240 2560 2785 3584 3899 4456 4480 5120 5570 7168 7798 8912 8960 11140 15596 17824 17920 19495 22280 31192 35648 35840 38990 44560 62384 71296 77980 89120 124768 142592 155960 178240 249536 285184 311920 356480 499072 570368 623840 712960 998144 1247680 1425920 1996288 2495360 2851840 3992576 4990720 9981440 19962880