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102067488 = 2532354401
BaseRepresentation
bin1100001010101…
…10110100100000
321010001120021100
412011112310200
5202112124423
614043354400
72346362565
oct605266440
9233046240
10102067488
11526838a6
122a222a00
13181b8883
14d7ac86c
158e62343
hex6156d20

102067488 has 36 divisors (see below), whose sum is σ = 290255238. Its totient is φ = 34022400.

The previous prime is 102067403. The next prime is 102067499. The reversal of 102067488 is 884760201.

It can be written as a sum of positive squares in only one way, i.e., 101848464 + 219024 = 10092^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 176913 + ... + 177488.

Almost surely, 2102067488 is an apocalyptic number.

102067488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102067488 is an abundant number, since it is smaller than the sum of its proper divisors (188187750).

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

102067488 is a wasteful number, since it uses less digits than its factorization.

102067488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354417 (or 354406 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 102067488 is about 10102.8455397477. The cubic root of 102067488 is about 467.3358978688.

The spelling of 102067488 in words is "one hundred two million, sixty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 354401 708802 1063203 1417604 2126406 2835208 3189609 4252812 5670416 6379218 8505624 11340832 12758436 17011248 25516872 34022496 51033744 102067488