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1242200520 = 2332511228517
BaseRepresentation
bin100101000001010…
…0111100111001000
310012120102022202200
41022002213213020
510021000404040
6323132400200
742532346601
oct11202474710
93176368680
101242200520
1158820a700
122a8016060
1316a47b7c2
14bad96da8
15740c4630
hex4a0a79c8

1242200520 has 144 divisors (see below), whose sum is σ = 4437685980. Its totient is φ = 301128960.

The previous prime is 1242200507. The next prime is 1242200543. The reversal of 1242200520 is 250022421.

1242200520 is a `hidden beast` number, since 124 + 2 + 20 + 0 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1218987396 + 23213124 = 34914^2 + 4818^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1242200493 and 1242200502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29302 + ... + 57818.

Almost surely, 21242200520 is an apocalyptic number.

1242200520 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 1242200520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218842990).

1242200520 is an abundant number, since it is smaller than the sum of its proper divisors (3195485460).

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

1242200520 is a wasteful number, since it uses less digits than its factorization.

1242200520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28556 (or 28538 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1242200520 is about 35244.8651579205. The cubic root of 1242200520 is about 1074.9722062401.

Adding to 1242200520 its reverse (250022421), we get a palindrome (1492222941).

The spelling of 1242200520 in words is "one billion, two hundred forty-two million, two hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 28517 43560 57034 85551 114068 142585 171102 228136 256653 285170 313687 342204 427755 513306 570340 627374 684408 855510 941061 1026612 1140680 1254748 1283265 1568435 1711020 1882122 2053224 2509496 2566530 2823183 3136870 3422040 3450557 3764244 4705305 5133060 5646366 6273740 6901114 7528488 9410610 10266120 10351671 11292732 12547480 13802228 14115915 17252785 18821220 20703342 22585464 27604456 28231830 31055013 34505570 37642440 41406684 51758355 56463660 62110026 69011140 82813368 103516710 112927320 124220052 138022280 155275065 207033420 248440104 310550130 414066840 621100260 1242200520