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8022420 = 2232576367
BaseRepresentation
bin11110100110100110010100
3120002120200200
4132212212110
54023204140
6443540500
7125121660
oct36464624
916076620
108022420
11458a3aa
12282a730
13187b6c3
1410cb8a0
15a87030
hex7a6994

8022420 has 72 divisors (see below), whose sum is σ = 27815424. Its totient is φ = 1833408.

The previous prime is 8022409. The next prime is 8022437. The reversal of 8022420 is 242208.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8022393 and 8022402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1924 + ... + 4443.

Almost surely, 28022420 is an apocalyptic number.

It is an amenable number.

8022420 is an abundant number, since it is smaller than the sum of its proper divisors (19793004).

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

8022420 is a wasteful number, since it uses less digits than its factorization.

8022420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 8022420 is about 2832.3876853284. The cubic root of 8022420 is about 200.1866590711.

Adding to 8022420 its reverse (242208), we get a palindrome (8264628).

It can be divided in two parts, 80 and 22420, that added together give a square (22500 = 1502).

The spelling of 8022420 in words is "eight million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 6367 12734 19101 25468 31835 38202 44569 57303 63670 76404 89138 95505 114606 127340 133707 178276 191010 222845 229212 267414 286515 382020 401121 445690 534828 573030 668535 802242 891380 1146060 1337070 1604484 2005605 2674140 4011210 8022420