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642320 = 24573137
BaseRepresentation
bin10011100110100010000
31012122002122
42130310100
5131023240
621433412
75313440
oct2346420
91178078
10642320
113a9648
1226b868
13196493
1412a120
15ca4b5
hex9cd10

642320 has 80 divisors (see below), whose sum is σ = 1809408. Its totient is φ = 207360.

The previous prime is 642281. The next prime is 642359. The reversal of 642320 is 23246.

642320 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (642281) and next prime (642359).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

642320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17342 + ... + 17378.

2642320 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 642320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904704).

642320 is an abundant number, since it is smaller than the sum of its proper divisors (1167088).

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

642320 is a wasteful number, since it uses less digits than its factorization.

642320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 642320 is about 801.4486883139. The cubic root of 642320 is about 86.2813930391.

Adding to 642320 its reverse (23246), we get a palindrome (665566).

The spelling of 642320 in words is "six hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 37 40 56 62 70 74 80 112 124 140 148 155 185 217 248 259 280 296 310 370 434 496 518 560 592 620 740 868 1036 1085 1147 1240 1295 1480 1736 2072 2170 2294 2480 2590 2960 3472 4144 4340 4588 5180 5735 8029 8680 9176 10360 11470 16058 17360 18352 20720 22940 32116 40145 45880 64232 80290 91760 128464 160580 321160 642320