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2120832 = 27327263
BaseRepresentation
bin1000000101110010000000
310222202020100
420011302000
51020331312
6113242400
724012120
oct10056200
93882210
102120832
11121945a
12863400
1359343c
143d2c80
152bd5dc
hex205c80

2120832 has 96 divisors (see below), whose sum is σ = 7001280. Its totient is φ = 603648.

The previous prime is 2120827. The next prime is 2120843. The reversal of 2120832 is 2380212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7933 + ... + 8195.

It is an arithmetic number, because the mean of its divisors is an integer number (72930).

22120832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500640).

2120832 is an abundant number, since it is smaller than the sum of its proper divisors (4880448).

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

2120832 is a wasteful number, since it uses less digits than its factorization.

2120832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2120832 is about 1456.3076598027. The cubic root of 2120832 is about 128.4799688176.

The spelling of 2120832 in words is "two million, one hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 263 288 336 384 448 504 526 576 672 789 896 1008 1052 1152 1344 1578 1841 2016 2104 2367 2688 3156 3682 4032 4208 4734 5523 6312 7364 8064 8416 9468 11046 12624 14728 16569 16832 18936 22092 25248 29456 33138 33664 37872 44184 50496 58912 66276 75744 88368 100992 117824 132552 151488 176736 235648 265104 302976 353472 530208 706944 1060416 2120832