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2127312 = 2432111779
BaseRepresentation
bin1000000111010111010000
311000002010100
420013113100
51021033222
6113332400
724040035
oct10072720
94002110
102127312
111223310
12867100
13596385
143d538c
152c04ac
hex2075d0

2127312 has 120 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 599040.

The previous prime is 2127299. The next prime is 2127319. The reversal of 2127312 is 2137212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26889 + ... + 26967.

It is an arithmetic number, because the mean of its divisors is an integer number (58032).

22127312 is an apocalyptic number.

2127312 is a gapful number since it is divisible by the number (22) 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 2127312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

2127312 is an abundant number, since it is smaller than the sum of its proper divisors (4836528).

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

2127312 is a wasteful number, since it uses less digits than its factorization.

2127312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 2127312 is about 1458.5307675877. The cubic root of 2127312 is about 128.6106885396.

The spelling of 2127312 in words is "two million, one hundred twenty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 79 88 99 102 132 136 144 153 158 176 187 198 204 237 264 272 306 316 374 396 408 474 528 561 612 632 711 748 792 816 869 948 1122 1224 1264 1343 1422 1496 1584 1683 1738 1896 2244 2448 2607 2686 2844 2992 3366 3476 3792 4029 4488 5214 5372 5688 6732 6952 7821 8058 8976 10428 10744 11376 12087 13464 13904 14773 15642 16116 20856 21488 24174 26928 29546 31284 32232 41712 44319 48348 59092 62568 64464 88638 96696 118184 125136 132957 177276 193392 236368 265914 354552 531828 709104 1063656 2127312