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102282150 = 23522321289
BaseRepresentation
bin1100001100010…
…11001110100110
321010110110201210
412012023032212
5202141012100
614052132250
72351245455
oct606131646
9233413653
10102282150
1152810103
122a307086
13182624a9
14d826b9c
158ea5c50
hex618b3a6

102282150 has 72 divisors (see below), whose sum is σ = 265373640. Its totient is φ = 26069120.

The previous prime is 102282137. The next prime is 102282151. The reversal of 102282150 is 51282201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102282151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78706 + ... + 79994.

It is an arithmetic number, because the mean of its divisors is an integer number (3685745).

Almost surely, 2102282150 is an apocalyptic number.

102282150 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 102282150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132686820).

102282150 is an abundant number, since it is smaller than the sum of its proper divisors (163091490).

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

102282150 is a wasteful number, since it uses less digits than its factorization.

102282150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 102282150 is about 10113.4637983235. The cubic root of 102282150 is about 467.6632924000.

The spelling of 102282150 in words is "one hundred two million, two hundred eighty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 529 575 690 1058 1150 1289 1587 1725 2578 2645 3174 3450 3867 5290 6445 7734 7935 12890 13225 15870 19335 26450 29647 32225 38670 39675 59294 64450 79350 88941 96675 148235 177882 193350 296470 444705 681881 741175 889410 1363762 1482350 2045643 2223525 3409405 4091286 4447050 6818810 10228215 17047025 20456430 34094050 51141075 102282150