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20100608 = 29114383
BaseRepresentation
bin100110010101…
…1011000000000
31101211012211222
41030223120000
520121204413
61554454212
7332565233
oct114533000
941735758
1020100608
1110389980
126894368
13421a168
14295341a
151b70b08
hex132b600

20100608 has 80 divisors (see below), whose sum is σ = 45372096. Its totient is φ = 8816640.

The previous prime is 20100601. The next prime is 20100611. The reversal of 20100608 is 80600102.

20100608 is nontrivially palindromic in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242135 + ... + 242217.

Almost surely, 220100608 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 20100608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22686048).

20100608 is an abundant number, since it is smaller than the sum of its proper divisors (25271488).

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

20100608 is an equidigital number, since it uses as much as digits as its factorization.

20100608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 20100608 is about 4483.3701609392. The cubic root of 20100608 is about 271.8961541297.

The spelling of 20100608 in words is "twenty million, one hundred thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 83 86 88 128 166 172 176 256 332 344 352 473 512 664 688 704 913 946 1328 1376 1408 1826 1892 2656 2752 2816 3569 3652 3784 5312 5504 5632 7138 7304 7568 10624 11008 14276 14608 15136 21248 22016 28552 29216 30272 39259 42496 57104 58432 60544 78518 114208 116864 121088 157036 228416 233728 242176 314072 456832 467456 628144 913664 1256288 1827328 2512576 5025152 10050304 20100608