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1056104320 = 27537103433
BaseRepresentation
bin111110111100101…
…101111110000000
32201121020122202211
4332330231332000
54130330314240
6252443551504
735112511225
oct7674557600
92647218684
101056104320
114a2163897
1225582b594
1313aa51bcb
14a039394c
1562ab4bea
hex3ef2df80

1056104320 has 128 divisors (see below), whose sum is σ = 2624207040. Its totient is φ = 406093824.

The previous prime is 1056104297. The next prime is 1056104323. The reversal of 1056104320 is 234016501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10561043202 = 2230712669445324800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056104291 and 1056104300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056104323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2438824 + ... + 2439256.

Almost surely, 21056104320 is an apocalyptic number.

1056104320 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 1056104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312103520).

1056104320 is an abundant number, since it is smaller than the sum of its proper divisors (1568102720).

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

1056104320 is a wasteful number, since it uses less digits than its factorization.

1056104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1056104320 is about 32497.7586919467. The cubic root of 1056104320 is about 1018.3622056709.

The spelling of 1056104320 in words is "one billion, fifty-six million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 103 128 148 160 185 206 296 320 370 412 433 515 592 640 740 824 866 1030 1184 1480 1648 1732 2060 2165 2368 2960 3296 3464 3811 4120 4330 4736 5920 6592 6928 7622 8240 8660 11840 13184 13856 15244 16021 16480 17320 19055 23680 27712 30488 32042 32960 34640 38110 44599 55424 60976 64084 65920 69280 76220 80105 89198 121952 128168 138560 152440 160210 178396 222995 243904 256336 277120 304880 320420 356792 445990 487808 512672 609760 640840 713584 891980 1025344 1219520 1281680 1427168 1650163 1783960 2050688 2439040 2563360 2854336 3300326 3567920 5126720 5708672 6600652 7135840 8250815 10253440 13201304 14271680 16501630 26402608 28543360 33003260 52805216 66006520 105610432 132013040 211220864 264026080 528052160 1056104320