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2147024 = 241121109
BaseRepresentation
bin1000001100001011010000
311001002011102
420030023100
51022201044
6114003532
724151355
oct10141320
94032142
102147024
111237100
128765a8
135a2339
143dc62c
152c624e
hex20c2d0

2147024 has 30 divisors (see below), whose sum is σ = 4576530. Its totient is φ = 975040.

The previous prime is 2147023. The next prime is 2147039. The reversal of 2147024 is 4207412.

It can be written as a sum of positive squares in only one way, i.e., 1210000 + 937024 = 1100^2 + 968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2146987 and 2147005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2147021) 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 5 ways as a sum of consecutive naturals, for example, 1382 + ... + 2490.

It is an arithmetic number, because the mean of its divisors is an integer number (152551).

22147024 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 2147024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288265).

2147024 is an abundant number, since it is smaller than the sum of its proper divisors (2429506).

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

2147024 is a wasteful number, since it uses less digits than its factorization.

2147024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 2147024 is about 1465.2726708705. The cubic root of 2147024 is about 129.0067099849.

The spelling of 2147024 in words is "two million, one hundred forty-seven thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1109 1936 2218 4436 8872 12199 17744 24398 48796 97592 134189 195184 268378 536756 1073512 2147024