Search a number
-
+
19998272 = 2673911
BaseRepresentation
bin100110001001…
…0011001000000
31101122000110202
41030102121000
520104421042
61552344332
7331661000
oct114223100
941560422
1019998272
1110319aa8
1268450a8
1341b26c8
142928000
151b50632
hex1312640

19998272 has 56 divisors (see below), whose sum is σ = 46329600. Its totient is φ = 8561280.

The previous prime is 19998263. The next prime is 19998337. The reversal of 19998272 is 27289991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21497 + ... + 22407.

Almost surely, 219998272 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 19998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23164800).

19998272 is an abundant number, since it is smaller than the sum of its proper divisors (26331328).

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

19998272 is an frugal number, since it uses more digits than its factorization.

19998272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 920 counting only the distinct ones).

The product of its digits is 163296, while the sum is 47.

The square root of 19998272 is about 4471.9427545531. The cubic root of 19998272 is about 271.4339439116.

The spelling of 19998272 in words is "nineteen million, nine hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 911 1372 1568 1822 2744 3136 3644 5488 6377 7288 10976 12754 14576 21952 25508 29152 44639 51016 58304 89278 102032 178556 204064 312473 357112 408128 624946 714224 1249892 1428448 2499784 2856896 4999568 9999136 19998272