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1068383232 = 21032716561
BaseRepresentation
bin111111101011100…
…011110000000000
32202110100111021100
4333223203300000
54142001230412
6254003054400
735322051630
oct7753436000
92673314240
101068383232
114a9090154
12259971400
13140460b37
14a1c6c6c0
1563bdcedc
hex3fae3c00

1068383232 has 132 divisors (see below), whose sum is σ = 3525851056. Its totient is φ = 305233920.

The previous prime is 1068383231. The next prime is 1068383249. The reversal of 1068383232 is 2323838601.

1068383232 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 2×10683832322 = 2282885460837531648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068383231) 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, 56232 + ... + 72792.

Almost surely, 21068383232 is an apocalyptic number.

1068383232 is a gapful number since it is divisible by the number (12) 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 1068383232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762925528).

1068383232 is an abundant number, since it is smaller than the sum of its proper divisors (2457467824).

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

1068383232 is a wasteful number, since it uses less digits than its factorization.

1068383232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16594 (or 16573 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1068383232 is about 32686.1321052216. The cubic root of 1068383232 is about 1022.2937078622.

The spelling of 1068383232 in words is "one billion, sixty-eight million, three hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 16561 21504 32256 33122 49683 64512 66244 99366 115927 132488 149049 198732 231854 264976 298098 347781 397464 463708 529952 596196 695562 794928 927416 1043343 1059904 1192392 1391124 1589856 1854832 2086686 2119808 2384784 2782248 3179712 3709664 4173372 4239616 4769568 5564496 6359424 7419328 8346744 8479232 9539136 11128992 12718848 14838656 16693488 16958464 19078272 22257984 25437696 29677312 33386976 38156544 44515968 50875392 59354624 66773952 76313088 89031936 118709248 133547904 152626176 178063872 267095808 356127744 534191616 1068383232