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2156544 = 2113413
BaseRepresentation
bin1000001110100000000000
311001120020000
420032200000
51023002134
6114120000
724221205
oct10164000
94046200
102156544
111243275
12880000
135a6780
14401cac
152c8e99
hex20e800

2156544 has 120 divisors (see below), whose sum is σ = 6936930. Its totient is φ = 663552.

The previous prime is 2156537. The next prime is 2156597. The reversal of 2156544 is 4456512.

2156544 is a `hidden beast` number, since 2 + 1 + 5 + 654 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 82944 = 1440^2 + 288^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165882 + ... + 165894.

22156544 is an apocalyptic number.

2156544 is a gapful number since it is divisible by the number (24) 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 2156544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468465).

2156544 is an abundant number, since it is smaller than the sum of its proper divisors (4780386).

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

2156544 is an equidigital number, since it uses as much as digits as its factorization.

2156544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 18 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 2156544 is about 1468.5176199147. The cubic root of 2156544 is about 129.1971026901.

Subtracting 2156544 from its reverse (4456512), we obtain a cube (2299968 = 1323).

It can be divided in two parts, 21565 and 44, that added together give a square (21609 = 1472).

The spelling of 2156544 in words is "two million, one hundred fifty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 256 288 312 324 351 384 416 432 468 512 576 624 648 702 768 832 864 936 1024 1053 1152 1248 1296 1404 1536 1664 1728 1872 2048 2106 2304 2496 2592 2808 3072 3328 3456 3744 4212 4608 4992 5184 5616 6144 6656 6912 7488 8424 9216 9984 10368 11232 13312 13824 14976 16848 18432 19968 20736 22464 26624 27648 29952 33696 39936 41472 44928 55296 59904 67392 79872 82944 89856 119808 134784 165888 179712 239616 269568 359424 539136 718848 1078272 2156544