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1060084928 = 26731372063
BaseRepresentation
bin111111001011111…
…001110011000000
32201212201220010202
4333023321303000
54132340204203
6253105144332
735161400420
oct7713716300
92655656122
101060084928
114a4432551
1225702b0a8
1313b8169b6
14a0b0c480
15630ee388
hex3f2f9cc0

1060084928 has 112 divisors (see below), whose sum is σ = 2549981184. Its totient is φ = 427576320.

The previous prime is 1060084877. The next prime is 1060084933. The reversal of 1060084928 is 8294800601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10600849282 = 2247560109145530368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1060084891 and 1060084900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512825 + ... + 514887.

Almost surely, 21060084928 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 1060084928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274990592).

1060084928 is an abundant number, since it is smaller than the sum of its proper divisors (1489896256).

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

1060084928 is a wasteful number, since it uses less digits than its factorization.

1060084928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 1060084928 is about 32558.9454374677. The cubic root of 1060084928 is about 1019.6400524113.

The spelling of 1060084928 in words is "one billion, sixty million, eighty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 56 62 64 74 112 124 148 217 224 248 259 296 434 448 496 518 592 868 992 1036 1147 1184 1736 1984 2063 2072 2294 2368 3472 4126 4144 4588 6944 8029 8252 8288 9176 13888 14441 16058 16504 16576 18352 28882 32116 33008 36704 57764 63953 64232 66016 73408 76331 115528 127906 128464 132032 152662 231056 255812 256928 305324 447671 462112 511624 513856 534317 610648 895342 924224 1023248 1068634 1221296 1790684 2046496 2137268 2366261 2442592 3581368 4092992 4274536 4732522 4885184 7162736 8549072 9465044 14325472 16563827 17098144 18930088 28650944 33127654 34196288 37860176 66255308 75720352 132510616 151440704 265021232 530042464 1060084928