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1045713060 = 2232577431117
BaseRepresentation
bin111110010101000…
…101000010100100
32200212200201122100
4332111011002210
54120200304220
6251433132100
734625262060
oct7625050244
92625621570
101045713060
11497306777
1225225a030
13138854232
149cc4aaa0
1561c10d90
hex3e5450a4

1045713060 has 144 divisors (see below), whose sum is σ = 3633267456. Its totient is φ = 238484736.

The previous prime is 1045713023. The next prime is 1045713079. The reversal of 1045713060 is 603175401.

1045713060 is a `hidden beast` number, since 1 + 0 + 4 + 571 + 30 + 60 = 666.

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 47 ways as a sum of consecutive naturals, for example, 935622 + ... + 936738.

It is an arithmetic number, because the mean of its divisors is an integer number (25231024).

Almost surely, 21045713060 is an apocalyptic number.

1045713060 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 1045713060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816633728).

1045713060 is an abundant number, since it is smaller than the sum of its proper divisors (2587554396).

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

1045713060 is a wasteful number, since it uses less digits than its factorization.

1045713060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1045713060 is about 32337.4869153433. The cubic root of 1045713060 is about 1015.0112223435.

Adding to 1045713060 its reverse (603175401), we get a palindrome (1648888461).

The spelling of 1045713060 in words is "one billion, forty-five million, seven hundred thirteen thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 743 1117 1260 1486 2229 2234 2972 3351 3715 4458 4468 5201 5585 6687 6702 7430 7819 8916 10053 10402 11145 11170 13374 13404 14860 15603 15638 16755 20106 20804 22290 22340 23457 26005 26748 31206 31276 33435 33510 39095 40212 44580 46809 46914 50265 52010 62412 66870 67020 70371 78015 78190 93618 93828 100530 104020 117285 133740 140742 156030 156380 187236 201060 234045 234570 281484 312060 351855 468090 469140 703710 829931 936180 1407420 1659862 2489793 3319724 4149655 4979586 5809517 7469379 8299310 9959172 11619034 12448965 14938758 16598620 17428551 23238068 24897930 29047585 29877516 34857102 37346895 49795860 52285653 58095170 69714204 74693790 87142755 104571306 116190340 149387580 174285510 209142612 261428265 348571020 522856530 1045713060