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102060450 = 23252337673
BaseRepresentation
bin1100001010101…
…01000110100010
321010001012121200
412011111012202
5202111413300
614043302030
72346333222
oct605250642
9233035550
10102060450
1152679588
122a21a916
13181b55cb
14d7aa082
158e60200
hex61551a2

102060450 has 72 divisors (see below), whose sum is σ = 275424708. Its totient is φ = 27095040.

The previous prime is 102060449. The next prime is 102060451. The reversal of 102060450 is 54060201.

It is a happy number.

102060450 is a `hidden beast` number, since 10 + 2 + 0 + 604 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (102060449) and next prime (102060451).

It can be written as a sum of positive squares in 6 ways, for example, as 18173169 + 83887281 = 4263^2 + 9159^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102060451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151314 + ... + 151986.

Almost surely, 2102060450 is an apocalyptic number.

102060450 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 102060450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137712354).

102060450 is an abundant number, since it is smaller than the sum of its proper divisors (173364258).

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

102060450 is a wasteful number, since it uses less digits than its factorization.

102060450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102060450 is about 10102.4972160353. The cubic root of 102060450 is about 467.3251560034.

The spelling of 102060450 in words is "one hundred two million, sixty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 337 450 673 674 1011 1346 1685 2019 2022 3033 3365 3370 4038 5055 6057 6066 6730 8425 10095 10110 12114 15165 16825 16850 20190 25275 30285 30330 33650 50475 50550 60570 75825 100950 151425 151650 226801 302850 453602 680403 1134005 1360806 2041209 2268010 3402015 4082418 5670025 6804030 10206045 11340050 17010075 20412090 34020150 51030225 102060450