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2112399360 = 21132522921
BaseRepresentation
bin111110111101000…
…1010100000000000
312110012212000011100
41331322022200000
513311233234420
6545340014400
7103230045501
oct17572124000
95405760140
102112399360
119944379a5
124ab531400
1327883c866
14160796ba8
15c56b6190
hex7de8a800

2112399360 has 144 divisors (see below), whose sum is σ = 7321516020. Its totient is φ = 563281920.

The previous prime is 2112399299. The next prime is 2112399371. The reversal of 2112399360 is 639932112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2096907264 + 15492096 = 45792^2 + 3936^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×21123993602 = 8924462112256819200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80700 + ... + 103620.

Almost surely, 22112399360 is an apocalyptic number.

2112399360 is a gapful number since it is divisible by the number (20) 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 2112399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660758010).

2112399360 is an abundant number, since it is smaller than the sum of its proper divisors (5209116660).

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

2112399360 is a wasteful number, since it uses less digits than its factorization.

2112399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22954 (or 22931 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 2112399360 is about 45960.8459452173. The cubic root of 2112399360 is about 1283.0945956460.

The spelling of 2112399360 in words is "two billion, one hundred twelve million, three hundred ninety-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 22921 23040 30720 45842 46080 68763 91684 92160 114605 137526 183368 206289 229210 275052 343815 366736 412578 458420 550104 687630 733472 825156 916840 1031445 1100208 1375260 1466944 1650312 1833680 2062890 2200416 2750520 2933888 3300624 3667360 4125780 4400832 5501040 5867776 6601248 7334720 8251560 8801664 11002080 11735552 13202496 14669440 16503120 17603328 22004160 23471104 26404992 29338880 33006240 35206656 44008320 46942208 52809984 58677760 66012480 70413312 88016640 105619968 117355520 132024960 140826624 176033280 211239936 234711040 264049920 352066560 422479872 528099840 704133120 1056199680 2112399360