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102020736 = 273379701
BaseRepresentation
bin1100001010010…
…11011010000000
321002222012010210
412011023122000
5202104130421
614042354120
72346106356
oct605133200
9232865123
10102020736
1152651764
122a1bb940
13181a04cc
14d7997d6
158e53576
hex614b680

102020736 has 64 divisors (see below), whose sum is σ = 272095200. Its totient is φ = 33868800.

The previous prime is 102020719. The next prime is 102020767. The reversal of 102020736 is 637020201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145186 + ... + 145886.

Almost surely, 2102020736 is an apocalyptic number.

102020736 is a gapful number since it is divisible by the number (16) 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 102020736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136047600).

102020736 is an abundant number, since it is smaller than the sum of its proper divisors (170074464).

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

102020736 is an equidigital number, since it uses as much as digits as its factorization.

102020736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 102020736 is about 10100.5314711653. The cubic root of 102020736 is about 467.2645325884.

Adding to 102020736 its reverse (637020201), we get a palindrome (739040937).

The spelling of 102020736 in words is "one hundred two million, twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 379 384 701 758 1137 1402 1516 2103 2274 2804 3032 4206 4548 5608 6064 8412 9096 11216 12128 16824 18192 22432 24256 33648 36384 44864 48512 67296 72768 89728 134592 145536 265679 269184 531358 797037 1062716 1594074 2125432 3188148 4250864 6376296 8501728 12752592 17003456 25505184 34006912 51010368 102020736