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2153920 = 26553127
BaseRepresentation
bin1000001101110111000000
311001102121211
420031313000
51022411140
6114055504
724210436
oct10156700
94042554
102153920
1112412aa
1287a594
135a5512
14400d56
152c82ea
hex20ddc0

2153920 has 56 divisors (see below), whose sum is σ = 5266944. Its totient is φ = 838656.

The previous prime is 2153909. The next prime is 2153929. The reversal of 2153920 is 293512.

It is a junction number, because it is equal to n+sod(n) for n = 2153891 and 2153900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16897 + ... + 17023.

22153920 is an apocalyptic number.

2153920 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 2153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633472).

2153920 is an abundant number, since it is smaller than the sum of its proper divisors (3113024).

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

2153920 is a wasteful number, since it uses less digits than its factorization.

2153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 2153920 is about 1467.6239300311. The cubic root of 2153920 is about 129.1446807301.

The spelling of 2153920 in words is "two million, one hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 127 160 212 254 265 320 424 508 530 635 848 1016 1060 1270 1696 2032 2120 2540 3392 4064 4240 5080 6731 8128 8480 10160 13462 16960 20320 26924 33655 40640 53848 67310 107696 134620 215392 269240 430784 538480 1076960 2153920