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2112960 = 26353171
BaseRepresentation
bin1000000011110111000000
310222100102210
420003313000
51020103320
6113142120
723650143
oct10036700
93870383
102112960
111213553
1285a940
1358c995
143d005a
152bb0e0
hex203dc0

2112960 has 112 divisors (see below), whose sum is σ = 7022592. Its totient is φ = 537600.

The previous prime is 2112953. The next prime is 2112961. The reversal of 2112960 is 692112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29725 + ... + 29795.

22112960 is an apocalyptic number.

2112960 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 2112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511296).

2112960 is an abundant number, since it is smaller than the sum of its proper divisors (4909632).

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

2112960 is a wasteful number, since it uses less digits than its factorization.

2112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 2112960 is about 1453.6024215720. The cubic root of 2112960 is about 128.3208098572.

The spelling of 2112960 in words is "two million, one hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 71 80 93 96 120 124 142 155 160 186 192 213 240 248 284 310 320 355 372 426 465 480 496 568 620 710 744 852 930 960 992 1065 1136 1240 1420 1488 1704 1860 1984 2130 2201 2272 2480 2840 2976 3408 3720 4260 4402 4544 4960 5680 5952 6603 6816 7440 8520 8804 9920 11005 11360 13206 13632 14880 17040 17608 22010 22720 26412 29760 33015 34080 35216 44020 52824 66030 68160 70432 88040 105648 132060 140864 176080 211296 264120 352160 422592 528240 704320 1056480 2112960