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2153872 = 24719231
BaseRepresentation
bin1000001101110110010000
311001102120001
420031312100
51022410442
6114055344
724210340
oct10156620
94042501
102153872
111241266
1287a554
135a54a6
14400d20
152c82b7
hex20dd90

2153872 has 20 divisors (see below), whose sum is σ = 4769536. Its totient is φ = 923040.

The previous prime is 2153861. The next prime is 2153873. The reversal of 2153872 is 2783512.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2153872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153873) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9504 + ... + 9727.

22153872 is an apocalyptic number.

It is an amenable number.

2153872 is an abundant number, since it is smaller than the sum of its proper divisors (2615664).

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

2153872 is a wasteful number, since it uses less digits than its factorization.

2153872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19246 (or 19240 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 2153872 is about 1467.6075769769. The cubic root of 2153872 is about 129.1437213954.

Subtracting from 2153872 its product of digits (3360), we obtain a palindrome (2150512).

It can be divided in two parts, 2153 and 872, that added together give a square (3025 = 552).

The spelling of 2153872 in words is "two million, one hundred fifty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 19231 38462 76924 134617 153848 269234 307696 538468 1076936 2153872