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1056105232 = 247313113131
BaseRepresentation
bin111110111100101…
…110001100010000
32201121020201000121
4332330232030100
54130330331412
6252444000024
735112514000
oct7674561420
92647221017
101056105232
114a2164546
12255830014
1313aa52450
14a0394000
1562ab5107
hex3ef2e310

1056105232 has 160 divisors (see below), whose sum is σ = 2612332800. Its totient is φ = 410941440.

The previous prime is 1056105227. The next prime is 1056105287. The reversal of 1056105232 is 2325016501.

It is a super-2 number, since 2×10561052322 = 2230716522115547648, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1056105197 and 1056105206.

It is a congruent number.

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, 8061807 + ... + 8061937.

It is an arithmetic number, because the mean of its divisors is an integer number (16327080).

Almost surely, 21056105232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056105232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306166400).

1056105232 is an abundant number, since it is smaller than the sum of its proper divisors (1556227568).

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

1056105232 is a wasteful number, since it uses less digits than its factorization.

1056105232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 1056105232 is about 32497.7727236806. The cubic root of 1056105232 is about 1018.3624988068.

The spelling of 1056105232 in words is "one billion, fifty-six million, one hundred five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 113 131 182 196 208 226 262 343 364 392 452 524 637 686 728 784 791 904 917 1048 1274 1372 1456 1469 1582 1703 1808 1834 2096 2548 2744 2938 3164 3406 3668 4459 5096 5488 5537 5876 6328 6419 6812 7336 8918 10192 10283 11074 11752 11921 12656 12838 13624 14672 14803 17836 20566 22148 23504 23842 25676 27248 29606 35672 38759 41132 44296 44933 47684 51352 59212 71344 71981 77518 82264 83447 88592 89866 95368 102704 103621 118424 143962 155036 164528 166894 179732 190736 192439 207242 236848 287924 310072 333788 359464 384878 414484 503867 575848 584129 620144 667576 718928 725347 769756 828968 1007734 1151696 1168258 1335152 1347073 1450694 1539512 1657936 2015468 2336516 2694146 2901388 3079024 4030936 4673032 5077429 5388292 5802776 8061872 9346064 9429511 10154858 10776584 11605552 18859022 20309716 21553168 37718044 40619432 66006577 75436088 81238864 132013154 150872176 264026308 528052616 1056105232