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620642000 = 24531128211
BaseRepresentation
bin100100111111100…
…011111011010000
31121020211212202202
4210333203323100
52232341021000
6141330302332
721244240616
oct4477437320
91536755682
10620642000
11299377580
12153a279a8
139b7752b4
145c5db6b6
1539748dd5
hex24fe3ed0

620642000 has 80 divisors (see below), whose sum is σ = 1637198784. Its totient is φ = 225680000.

The previous prime is 620641997. The next prime is 620642023. The reversal of 620642000 is 246026.

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 (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7895 + ... + 36105.

Almost surely, 2620642000 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 620642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818599392).

620642000 is an abundant number, since it is smaller than the sum of its proper divisors (1016556784).

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

620642000 is a wasteful number, since it uses less digits than its factorization.

620642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28245 (or 28229 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 620642000 is about 24912.6875306539. The cubic root of 620642000 is about 852.9961164863.

Adding to 620642000 its reverse (246026), we get a palindrome (620888026).

The spelling of 620642000 in words is "six hundred twenty million, six hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 28211 56422 112844 141055 225688 282110 310321 451376 564220 620642 705275 1128440 1241284 1410550 1551605 2256880 2482568 2821100 3103210 3526375 4965136 5642200 6206420 7052750 7758025 11284400 12412840 14105500 15516050 24825680 28211000 31032100 38790125 56422000 62064200 77580250 124128400 155160500 310321000 620642000