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19981416 = 23372131307
BaseRepresentation
bin100110000111…
…0010001101000
31101121011100110
41030032101220
520103401131
61552134320
7331560600
oct114162150
941534313
1019981416
1110308374
1268373a0
1341a7b30
142921c00
151b4a646
hex130e468

19981416 has 96 divisors (see below), whose sum is σ = 62627040. Its totient is φ = 5265792.

The previous prime is 19981399. The next prime is 19981417. The reversal of 19981416 is 61418991.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (19981417) 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, 14635 + ... + 15941.

It is an arithmetic number, because the mean of its divisors is an integer number (652365).

Almost surely, 219981416 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 19981416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31313520).

19981416 is an abundant number, since it is smaller than the sum of its proper divisors (42645624).

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

19981416 is a wasteful number, since it uses less digits than its factorization.

19981416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1332 counting only the distinct ones).

The product of its digits is 15552, while the sum is 39.

The square root of 19981416 is about 4470.0577177482. The cubic root of 19981416 is about 271.3576610437.

The spelling of 19981416 in words is "nineteen million, nine hundred eighty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1307 1911 2184 2548 2614 3822 3921 5096 5228 7644 7842 9149 10456 15288 15684 16991 18298 27447 31368 33982 36596 50973 54894 64043 67964 73192 101946 109788 118937 128086 135928 192129 203892 219576 237874 256172 356811 384258 407784 475748 512344 713622 768516 832559 951496 1427244 1537032 1665118 2497677 2854488 3330236 4995354 6660472 9990708 19981416