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642000 = 24353107
BaseRepresentation
bin10011100101111010000
31012121122210
42130233100
5131021000
621432120
75312502
oct2345720
91177583
10642000
113a9387
1226b640
131962a8
14129d72
15ca350
hex9cbd0

642000 has 80 divisors (see below), whose sum is σ = 2089152. Its totient is φ = 169600.

The previous prime is 641981. The next prime is 642011. The reversal of 642000 is 246.

642000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

642000 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, 5947 + ... + 6053.

2642000 is an apocalyptic number.

642000 is a gapful number since it is divisible by the number (60) 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 642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044576).

642000 is an abundant number, since it is smaller than the sum of its proper divisors (1447152).

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

642000 is a wasteful number, since it uses less digits than its factorization.

642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 642000 is about 801.2490249604. The cubic root of 642000 is about 86.2670623669.

Adding to 642000 its reverse (246), we get a palindrome (642246).

The spelling of 642000 in words is "six hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 107 120 125 150 200 214 240 250 300 321 375 400 428 500 535 600 642 750 856 1000 1070 1200 1284 1500 1605 1712 2000 2140 2568 2675 3000 3210 4280 5136 5350 6000 6420 8025 8560 10700 12840 13375 16050 21400 25680 26750 32100 40125 42800 53500 64200 80250 107000 128400 160500 214000 321000 642000