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102828150 = 23352591291
BaseRepresentation
bin1100010000100…
…00100001110110
321011111012201000
412020100201312
5202311000100
614111544130
72356011345
oct610204166
9234435630
10102828150
1153053347
122a52b046
13183c3b79
14d929b5c
159062900
hex6210876

102828150 has 96 divisors (see below), whose sum is σ = 288374400. Its totient is φ = 26935200.

The previous prime is 102828149. The next prime is 102828163. The reversal of 102828150 is 51828201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79005 + ... + 80295.

It is an arithmetic number, because the mean of its divisors is an integer number (3003900).

Almost surely, 2102828150 is an apocalyptic number.

102828150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102828150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144187200).

102828150 is an abundant number, since it is smaller than the sum of its proper divisors (185546250).

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

102828150 is a wasteful number, since it uses less digits than its factorization.

102828150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 102828150 is about 10140.4215888690. The cubic root of 102828150 is about 468.4939721849.

The spelling of 102828150 in words is "one hundred two million, eight hundred twenty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 59 75 90 118 135 150 177 225 270 295 354 450 531 590 675 885 1062 1291 1350 1475 1593 1770 2582 2655 2950 3186 3873 4425 5310 6455 7746 7965 8850 11619 12910 13275 15930 19365 23238 26550 32275 34857 38730 39825 58095 64550 69714 76169 79650 96825 116190 152338 174285 193650 228507 290475 348570 380845 457014 580950 685521 761690 871425 1142535 1371042 1742850 1904225 2056563 2285070 3427605 3808450 4113126 5712675 6855210 10282815 11425350 17138025 20565630 34276050 51414075 102828150