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100028208 = 2437271599
BaseRepresentation
bin1011111011001…
…00111100110000
320222012221220110
411331210330300
5201101400313
613531541320
72323140300
oct575447460
9228187813
10100028208
1151510745
12295ba840
13179535b7
14d3db600
158bacec3
hex5f64f30

100028208 has 120 divisors (see below), whose sum is σ = 305337600. Its totient is φ = 28129920.

The previous prime is 100028207. The next prime is 100028209. The reversal of 100028208 is 802820001.

It is an interprime number because it is at equal distance from previous prime (100028207) and next prime (100028209).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100028207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166693 + ... + 167291.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2100028208 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 100028208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

100028208 is an abundant number, since it is smaller than the sum of its proper divisors (205309392).

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

100028208 is a wasteful number, since it uses less digits than its factorization.

100028208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 100028208 is about 10001.4103005526. The cubic root of 100028208 is about 464.2025225709.

Adding to 100028208 its reverse (802820001), we get a palindrome (902848209).

The spelling of 100028208 in words is "one hundred million, twenty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 71 84 98 112 142 147 168 196 213 284 294 336 392 426 497 568 588 599 784 852 994 1136 1176 1198 1491 1704 1797 1988 2352 2396 2982 3408 3479 3594 3976 4193 4792 5964 6958 7188 7952 8386 9584 10437 11928 12579 13916 14376 16772 20874 23856 25158 27832 28752 29351 33544 41748 42529 50316 55664 58702 67088 83496 85058 88053 100632 117404 127587 166992 170116 176106 201264 234808 255174 297703 340232 352212 469616 510348 595406 680464 704424 893109 1020696 1190812 1408848 1786218 2041392 2083921 2381624 3572436 4167842 4763248 6251763 7144872 8335684 12503526 14289744 16671368 25007052 33342736 50014104 100028208