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1660010112 = 2734295521
BaseRepresentation
bin110001011110001…
…1011111010000000
311021200121020210000
41202330123322000
511344430310422
6432415440000
756064565425
oct14274337200
94250536700
101660010112
1178203a192
123a3b26000
13205bb7507
1411a675d4c
159ab04cac
hex62f1be80

1660010112 has 160 divisors (see below), whose sum is σ = 5111439300. Its totient is φ = 534159360.

The previous prime is 1660010089. The next prime is 1660010113. The reversal of 1660010112 is 2110100661.

1660010112 is a `hidden beast` number, since 1 + 660 + 0 + 1 + 0 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1643167296 + 16842816 = 40536^2 + 4104^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1660010113) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 297912 + ... + 303432.

Almost surely, 21660010112 is an apocalyptic number.

1660010112 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 1660010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555719650).

1660010112 is an abundant number, since it is smaller than the sum of its proper divisors (3451429188).

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

1660010112 is an equidigital number, since it uses as much as digits as its factorization.

1660010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1660010112 is about 40743.2216693771. The cubic root of 1660010112 is about 1184.0505517739.

Adding to 1660010112 its reverse (2110100661), we get a palindrome (3770110773).

The spelling of 1660010112 in words is "one billion, six hundred sixty million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 261 288 324 348 384 432 464 522 576 648 696 783 864 928 1044 1152 1296 1392 1566 1728 1856 2088 2349 2592 2784 3132 3456 3712 4176 4698 5184 5521 5568 6264 8352 9396 10368 11042 11136 12528 16563 16704 18792 22084 25056 33126 33408 37584 44168 49689 50112 66252 75168 88336 99378 100224 132504 149067 150336 160109 176672 198756 265008 298134 300672 320218 353344 397512 447201 480327 530016 596268 640436 706688 795024 894402 960654 1060032 1192536 1280872 1440981 1590048 1788804 1921308 2120064 2385072 2561744 2881962 3180096 3577608 3842616 4322943 4770144 5123488 5763924 6360192 7155216 7685232 8645886 9540288 10246976 11527848 12968829 14310432 15370464 17291772 19080576 20493952 23055696 25937658 28620864 30740928 34583544 46111392 51875316 57241728 61481856 69167088 92222784 103750632 138334176 184445568 207501264 276668352 415002528 553336704 830005056 1660010112