Search a number
-
+
1243514640 = 243517674549
BaseRepresentation
bin100101000011110…
…1000011100010000
310012122220002101210
41022013220130100
510021314432030
6323220500120
742546462054
oct11207503420
93178802353
101243514640
11588a27a55
122a854a640
1316a81b9a4
14bb219c64
1574283bb0
hex4a1e8710

1243514640 has 160 divisors (see below), whose sum is σ = 4143484800. Its totient is φ = 307372032.

The previous prime is 1243514627. The next prime is 1243514651. The reversal of 1243514640 is 464153421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1243514598 and 1243514607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271086 + ... + 275634.

It is an arithmetic number, because the mean of its divisors is an integer number (25896780).

Almost surely, 21243514640 is an apocalyptic number.

1243514640 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 1243514640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071742400).

1243514640 is an abundant number, since it is smaller than the sum of its proper divisors (2899970160).

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

1243514640 is a wasteful number, since it uses less digits than its factorization.

1243514640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4649 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1243514640 is about 35263.5029456803. The cubic root of 1243514640 is about 1075.3511425450.

The spelling of 1243514640 in words is "one billion, two hundred forty-three million, five hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 67 68 80 85 102 120 134 136 170 201 204 240 255 268 272 335 340 402 408 510 536 670 680 804 816 1005 1020 1072 1139 1340 1360 1608 2010 2040 2278 2680 3216 3417 4020 4080 4549 4556 5360 5695 6834 8040 9098 9112 11390 13647 13668 16080 17085 18196 18224 22745 22780 27294 27336 34170 36392 45490 45560 54588 54672 68235 68340 72784 77333 90980 91120 109176 136470 136680 154666 181960 218352 231999 272940 273360 304783 309332 363920 386665 463998 545880 609566 618664 773330 914349 927996 1091760 1159995 1219132 1237328 1523915 1546660 1828698 1855992 2319990 2438264 3047830 3093320 3657396 3711984 4571745 4639980 4876528 5181311 6095660 6186640 7314792 9143490 9279960 10362622 12191320 14629584 15543933 18286980 18559920 20725244 24382640 25906555 31087866 36573960 41450488 51813110 62175732 73147920 77719665 82900976 103626220 124351464 155439330 207252440 248702928 310878660 414504880 621757320 1243514640