Search a number
-
+
19243240 = 2352953313
BaseRepresentation
bin100100101101…
…0000011101000
31100012122202121
41021122003220
514411240430
61524241024
7322364512
oct111320350
940178677
1019243240
11a953805
126540174
133ca9b43
1427acbb2
151a51a7a
hex125a0e8

19243240 has 64 divisors (see below), whose sum is σ = 45781200. Its totient is φ = 7268352.

The previous prime is 19243207. The next prime is 19243241. The reversal of 19243240 is 4234291.

It can be written as a sum of positive squares in 8 ways, for example, as 4235364 + 15007876 = 2058^2 + 3874^2 .

It is not an unprimeable number, because it can be changed into a prime (19243241) 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, 61324 + ... + 61636.

Almost surely, 219243240 is an apocalyptic number.

19243240 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 19243240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22890600).

19243240 is an abundant number, since it is smaller than the sum of its proper divisors (26537960).

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

19243240 is a wasteful number, since it uses less digits than its factorization.

19243240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 19243240 is about 4386.7117525545. The cubic root of 19243240 is about 267.9740451585.

The spelling of 19243240 in words is "nineteen million, two hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 53 58 106 116 145 212 232 265 290 313 424 530 580 626 1060 1160 1252 1537 1565 2120 2504 3074 3130 6148 6260 7685 9077 12296 12520 15370 16589 18154 30740 33178 36308 45385 61480 66356 72616 82945 90770 132712 165890 181540 331780 363080 481081 663560 962162 1924324 2405405 3848648 4810810 9621620 19243240