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102012000 = 253538501
BaseRepresentation
bin1100001010010…
…01010001100000
321002221202011020
412011021101200
5202103341000
614042245440
72346042036
oct605112140
9232852136
10102012000
1152646142
122a1b6880
131819953c
14d796556
158e50ba0
hex6149460

102012000 has 96 divisors (see below), whose sum is σ = 334230624. Its totient is φ = 27200000.

The previous prime is 102011999. The next prime is 102012013. The reversal of 102012000 is 210201.

Adding to 102012000 its reverse (210201), we get a palindrome (102222201).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 102012000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7750 + ... + 16250.

It is an arithmetic number, because the mean of its divisors is an integer number (3481569).

Almost surely, 2102012000 is an apocalyptic number.

102012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167115312).

102012000 is an abundant number, since it is smaller than the sum of its proper divisors (232218624).

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

102012000 is an equidigital number, since it uses as much as digits as its factorization.

102012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8529 (or 8511 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 102012000 is about 10100.0990094157. The cubic root of 102012000 is about 467.2511949748.

The spelling of 102012000 in words is "one hundred two million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 8501 12000 17002 25503 34004 42505 51006 68008 85010 102012 127515 136016 170020 204024 212525 255030 272032 340040 408048 425050 510060 637575 680080 816096 850100 1020120 1062625 1275150 1360160 1700200 2040240 2125250 2550300 3187875 3400400 4080480 4250500 5100600 6375750 6800800 8501000 10201200 12751500 17002000 20402400 25503000 34004000 51006000 102012000