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2156688 = 243217881
BaseRepresentation
bin1000001110100010010000
311001120102100
420032202100
51023003223
6114120400
724221502
oct10164220
94046370
102156688
111243396
12880100
135a6861
14401d72
152c9043
hex20e890

2156688 has 60 divisors (see below), whose sum is σ = 6398028. Its totient is φ = 675840.

The previous prime is 2156683. The next prime is 2156699. The reversal of 2156688 is 8866512.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1016064 + 1140624 = 1008^2 + 1068^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2156681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2008 + ... + 2888.

22156688 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 2156688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199014).

2156688 is an abundant number, since it is smaller than the sum of its proper divisors (4241340).

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

2156688 is a wasteful number, since it uses less digits than its factorization.

2156688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 903 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2156688 is about 1468.5666481301. The cubic root of 2156688 is about 129.1999782739.

It can be divided in two parts, 215 and 6688, that added together give a triangular number (6903 = T117).

The spelling of 2156688 in words is "two million, one hundred fifty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 881 1224 1762 2448 2643 3524 5286 7048 7929 10572 14096 14977 15858 21144 29954 31716 42288 44931 59908 63432 89862 119816 126864 134793 179724 239632 269586 359448 539172 718896 1078344 2156688