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1116832160 = 255192315973
BaseRepresentation
bin100001010010001…
…1000000110100000
32212211111221201002
41002210120012200
54241402112120
6302453331132
736450626303
oct10244300640
92784457632
101116832160
11523471594
12272036aa8
1314a4c5242
14a8480b3a
15680ad375
hex429181a0

1116832160 has 96 divisors (see below), whose sum is σ = 2898322560. Its totient is φ = 404794368.

The previous prime is 1116832159. The next prime is 1116832177. The reversal of 1116832160 is 612386111.

It is a super-2 number, since 2×11168321602 = 2494628147220531200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61934 + ... + 77906.

It is an arithmetic number, because the mean of its divisors is an integer number (30190860).

Almost surely, 21116832160 is an apocalyptic number.

1116832160 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 1116832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449161280).

1116832160 is an abundant number, since it is smaller than the sum of its proper divisors (1781490400).

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

1116832160 is a wasteful number, since it uses less digits than its factorization.

1116832160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16030 (or 16022 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 1116832160 is about 33419.0388850428. The cubic root of 1116832160 is about 1037.5187892276.

The spelling of 1116832160 in words is "one billion, one hundred sixteen million, eight hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 76 80 92 95 115 152 160 184 190 230 304 368 380 437 460 608 736 760 874 920 1520 1748 1840 2185 3040 3496 3680 4370 6992 8740 13984 15973 17480 31946 34960 63892 69920 79865 127784 159730 255568 303487 319460 367379 511136 606974 638920 734758 1213948 1277840 1469516 1517435 1836895 2427896 2555680 2939032 3034870 3673790 4855792 5878064 6069740 6980201 7347580 9711584 11756128 12139480 13960402 14695160 24278960 27920804 29390320 34901005 48557920 55841608 58780640 69802010 111683216 139604020 223366432 279208040 558416080 1116832160