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1106553732 = 2231759891033
BaseRepresentation
bin100000111110100…
…1010101110000100
32212010011202100120
41001331022232010
54231234204412
6301445141540
736264360114
oct10175125604
92763152316
101106553732
11518691219
1226a6ba8b0
13148336a2b
14a6d67044
156722cb8c
hex41f4ab84

1106553732 has 96 divisors (see below), whose sum is σ = 2814134400. Its totient is φ = 337108992.

The previous prime is 1106553731. The next prime is 1106553739. The reversal of 1106553732 is 2373556011.

It is a super-2 number, since 2×11065537322 = 2448922323606255648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1106553693 and 1106553702.

It is not an unprimeable number, because it can be changed into a prime (1106553731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1070688 + ... + 1071720.

It is an arithmetic number, because the mean of its divisors is an integer number (29313900).

Almost surely, 21106553732 is an apocalyptic number.

1106553732 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 1106553732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407067200).

1106553732 is an abundant number, since it is smaller than the sum of its proper divisors (1707580668).

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

1106553732 is a wasteful number, since it uses less digits than its factorization.

1106553732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 1106553732 is about 33264.9024047869. The cubic root of 1106553732 is about 1034.3261444868.

The spelling of 1106553732 in words is "one billion, one hundred six million, five hundred fifty-three thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 89 102 118 177 178 204 236 267 354 356 534 708 1003 1033 1068 1513 2006 2066 3009 3026 3099 4012 4132 4539 5251 6018 6052 6198 9078 10502 12036 12396 15753 17561 18156 21004 31506 35122 52683 60947 63012 70244 89267 91937 105366 121894 178534 182841 183874 210732 243788 267801 275811 357068 365682 367748 535602 551622 731364 1036099 1071204 1103244 1562929 2072198 3108297 3125858 4144396 4688787 5424283 6216594 6251716 9377574 10848566 12433188 16272849 18755148 21697132 32545698 65091396 92212811 184425622 276638433 368851244 553276866 1106553732