Search a number
-
+
19898772 = 22317234241
BaseRepresentation
bin100101111101…
…0000110010100
31101102221222120
41023322012110
520043230042
61550255540
7331064625
oct113720624
941387876
1019898772
1110261273
1267b75b0
13417932a
1428dda4c
151b30dec
hex12fa194

19898772 has 48 divisors (see below), whose sum is σ = 51311232. Its totient is φ = 5969920.

The previous prime is 19898771. The next prime is 19898783. The reversal of 19898772 is 27789891.

It is a super-2 number, since 2×198987722 = 791922254215968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19898771) 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, 2572 + ... + 6812.

It is an arithmetic number, because the mean of its divisors is an integer number (1068984).

Almost surely, 219898772 is an apocalyptic number.

19898772 is a gapful number since it is divisible by the number (12) 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 19898772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25655616).

19898772 is an abundant number, since it is smaller than the sum of its proper divisors (31412460).

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

19898772 is a wasteful number, since it uses less digits than its factorization.

19898772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 4286 counting only the distinct ones).

The product of its digits is 508032, while the sum is 51.

The square root of 19898772 is about 4460.8039634129. The cubic root of 19898772 is about 270.9830283985.

The spelling of 19898772 in words is "nineteen million, eight hundred ninety-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1564 2346 4241 4692 8482 12723 16964 25446 50892 72097 97543 144194 195086 216291 288388 292629 390172 432582 585258 865164 1170516 1658231 3316462 4974693 6632924 9949386 19898772