Search a number
-
+
1242718360 = 2351317257547
BaseRepresentation
bin100101000010010…
…0110000010011000
310012121101122002221
41022010212002120
510021113441420
6323151433424
742536634412
oct11204460230
93177348087
101242718360
11588533774
122a8225874
1316a600410
14bb08d9b2
1574177caa
hex4a126098

1242718360 has 128 divisors (see below), whose sum is σ = 3206589120. Its totient is φ = 429391872.

The previous prime is 1242718333. The next prime is 1242718363. The reversal of 1242718360 is 638172421.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242718363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2271607 + ... + 2272153.

Almost surely, 21242718360 is an apocalyptic number.

1242718360 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 1242718360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603294560).

1242718360 is an abundant number, since it is smaller than the sum of its proper divisors (1963870760).

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

1242718360 is a wasteful number, since it uses less digits than its factorization.

1242718360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 1242718360 is about 35252.2107108193. The cubic root of 1242718360 is about 1075.1215611587.

The spelling of 1242718360 in words is "one billion, two hundred forty-two million, seven hundred eighteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 257 260 340 442 514 520 547 680 884 1028 1094 1105 1285 1768 2056 2188 2210 2570 2735 3341 4369 4376 4420 5140 5470 6682 7111 8738 8840 9299 10280 10940 13364 14222 16705 17476 18598 21845 21880 26728 28444 33410 34952 35555 37196 43690 46495 56797 56888 66820 71110 74392 87380 92990 113594 120887 133640 140579 142220 174760 185980 227188 241774 281158 283985 284440 371960 454376 483548 562316 567970 604435 702895 967096 1124632 1135940 1208870 1405790 1827527 2271880 2389843 2417740 2811580 3655054 4779686 4835480 5623160 7310108 9137635 9559372 11949215 14620216 18275270 19118744 23898430 31067959 36550540 47796860 62135918 73101080 95593720 124271836 155339795 248543672 310679590 621359180 1242718360