Search a number
-
+
2147424 = 25322369
BaseRepresentation
bin1000001100010001100000
311001002201020
420030101200
51022204144
6114005440
724152466
oct10142140
94032636
102147424
111237434
12876880
135a2586
143dc836
152c6419
hex20c460

2147424 has 24 divisors (see below), whose sum is σ = 5637240. Its totient is φ = 715776.

The previous prime is 2147419. The next prime is 2147429. The reversal of 2147424 is 4247412.

It is an interprime number because it is at equal distance from previous prime (2147419) and next prime (2147429).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×21474242 = 9222859671552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2147394 and 2147403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2147429) 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, 11089 + ... + 11280.

It is an arithmetic number, because the mean of its divisors is an integer number (234885).

22147424 is an apocalyptic number.

2147424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2147424 is an abundant number, since it is smaller than the sum of its proper divisors (3489816).

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

2147424 is a wasteful number, since it uses less digits than its factorization.

2147424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22382 (or 22374 counting only the distinct ones).

The product of its digits is 1792, while the sum is 24.

The square root of 2147424 is about 1465.4091578805. The cubic root of 2147424 is about 129.0147209929.

The spelling of 2147424 in words is "two million, one hundred forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 22369 44738 67107 89476 134214 178952 268428 357904 536856 715808 1073712 2147424