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1061042688 = 29321912119
BaseRepresentation
bin111111001111100…
…011101000000000
32201221112112221100
4333033203220000
54133111331223
6253141454400
735202466626
oct7717435000
92657475840
101061042688
114a4a27092
12257411400
1313ba90914
14a0cbb516
156323d043
hex3f3e3a00

1061042688 has 120 divisors (see below), whose sum is σ = 3223677600. Its totient is φ = 335038464.

The previous prime is 1061042681. The next prime is 1061042711. The reversal of 1061042688 is 8862401601.

1061042688 is a `hidden beast` number, since 10 + 610 + 4 + 26 + 8 + 8 = 666.

1061042688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10610426882 = 2251623171516530688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1061042681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81493 + ... + 93611.

It is an arithmetic number, because the mean of its divisors is an integer number (26863980).

Almost surely, 21061042688 is an apocalyptic number.

1061042688 is a gapful number since it is divisible by the number (18) 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 1061042688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611838800).

1061042688 is an abundant number, since it is smaller than the sum of its proper divisors (2162634912).

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

1061042688 is a wasteful number, since it uses less digits than its factorization.

1061042688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12162 (or 12143 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1061042688 is about 32573.6502099473. The cubic root of 1061042688 is about 1019.9470330050.

The spelling of 1061042688 in words is "one billion, sixty-one million, forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1216 1368 1536 1824 2304 2432 2736 3648 4608 4864 5472 7296 9728 10944 12119 14592 21888 24238 29184 36357 43776 48476 72714 87552 96952 109071 145428 193904 218142 230261 290856 387808 436284 460522 581712 690783 775616 872568 921044 1163424 1381566 1551232 1745136 1842088 2072349 2326848 2763132 3102464 3490272 3684176 4144698 4653696 5526264 6204928 6980544 7368352 8289396 9307392 11052528 13961088 14736704 16578792 18614784 22105056 27922176 29473408 33157584 44210112 55844352 58946816 66315168 88420224 117893632 132630336 176840448 265260672 353680896 530521344 1061042688