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2153956 = 227431789
BaseRepresentation
bin1000001101110111100100
311001102200011
420031313210
51022411311
6114100004
724210520
oct10156744
94042604
102153956
111241332
1287a604
135a553c
14400d80
152c8321
hex20dde4

2153956 has 24 divisors (see below), whose sum is σ = 4410560. Its totient is φ = 901152.

The previous prime is 2153953. The next prime is 2153959. The reversal of 2153956 is 6593512.

2153956 = 2882 + 2892 + ... + 3112.

2153956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2153953) and next prime (2153959).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310 + ... + 2098.

22153956 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 2153956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205280).

2153956 is an abundant number, since it is smaller than the sum of its proper divisors (2256604).

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

2153956 is a wasteful number, since it uses less digits than its factorization.

2153956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1841 counting only the distinct ones).

The product of its digits is 8100, while the sum is 31.

The square root of 2153956 is about 1467.6361947022. The cubic root of 2153956 is about 129.1454002218.

The spelling of 2153956 in words is "two million, one hundred fifty-three thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 1204 1789 3578 7156 12523 25046 50092 76927 153854 307708 538489 1076978 2153956