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1061398560 = 253516713241
BaseRepresentation
bin111111010000111…
…010100000100000
32201222012122002210
4333100322200200
54133204223220
6253153242120
735205511305
oct7720724040
92658178083
101061398560
114a514a4a2
12257563340
1313bb868b1
14a0d710ac
15632ad6e0
hex3f43a820

1061398560 has 96 divisors (see below), whose sum is σ = 3363679872. Its totient is φ = 281323520.

The previous prime is 1061398543. The next prime is 1061398571. The reversal of 1061398560 is 658931601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10613985602 = 2253133806340147200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 73540 + ... + 86780.

It is an arithmetic number, because the mean of its divisors is an integer number (35038332).

Almost surely, 21061398560 is an apocalyptic number.

1061398560 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 1061398560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681839936).

1061398560 is an abundant number, since it is smaller than the sum of its proper divisors (2302281312).

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

1061398560 is a wasteful number, since it uses less digits than its factorization.

1061398560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13426 (or 13418 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1061398560 is about 32579.1123267654. The cubic root of 1061398560 is about 1020.0610497869.

The spelling of 1061398560 in words is "one billion, sixty-one million, three hundred ninety-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 167 240 334 480 501 668 835 1002 1336 1670 2004 2505 2672 3340 4008 5010 5344 6680 8016 10020 13241 13360 16032 20040 26482 26720 39723 40080 52964 66205 79446 80160 105928 132410 158892 198615 211856 264820 317784 397230 423712 529640 635568 794460 1059280 1271136 1588920 2118560 2211247 3177840 4422494 6355680 6633741 8844988 11056235 13267482 17689976 22112470 26534964 33168705 35379952 44224940 53069928 66337410 70759904 88449880 106139856 132674820 176899760 212279712 265349640 353799520 530699280 1061398560