Search a number
-
+
19868040 = 23325229241
BaseRepresentation
bin100101111001…
…0100110001000
31101101101211100
41023302212020
520041234130
61545501400
7330606213
oct113624610
941341740
1019868040
1110240175
1267a1860
13416834a
1428d277a
151b26c60
hex12f2988

19868040 has 96 divisors (see below), whose sum is σ = 65122200. Its totient is φ = 5253120.

The previous prime is 19868033. The next prime is 19868047. The reversal of 19868040 is 4086891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19868033) and next prime (19868047).

It can be written as a sum of positive squares in 4 ways, for example, as 19766916 + 101124 = 4446^2 + 318^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19867986 and 19868004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19868047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82320 + ... + 82560.

Almost surely, 219868040 is an apocalyptic number.

19868040 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 19868040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32561100).

19868040 is an abundant number, since it is smaller than the sum of its proper divisors (45254160).

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

19868040 is a wasteful number, since it uses less digits than its factorization.

19868040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 19868040 is about 4457.3579618424. The cubic root of 19868040 is about 270.8434529289.

The spelling of 19868040 in words is "nineteen million, eight hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 229 241 360 458 482 687 723 916 964 1145 1205 1374 1446 1832 1928 2061 2169 2290 2410 2748 2892 3435 3615 4122 4338 4580 4820 5496 5784 6870 7230 8244 8676 9160 9640 10305 10845 13740 14460 16488 17352 20610 21690 27480 28920 41220 43380 55189 82440 86760 110378 165567 220756 275945 331134 441512 496701 551890 662268 827835 993402 1103780 1324536 1655670 1986804 2207560 2483505 3311340 3973608 4967010 6622680 9934020 19868040