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102047000 = 2353119277
BaseRepresentation
bin1100001010100…
…01110100011000
321010000112011112
412011101310120
5202111001000
614043115452
72346246056
oct605216430
9233015145
10102047000
115266a470
122a212b88
13181ac453
14d7a51d6
158e5b235
hex6151d18

102047000 has 64 divisors (see below), whose sum is σ = 260526240. Its totient is φ = 37104000.

The previous prime is 102046993. The next prime is 102047059. The reversal of 102047000 is 740201.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6362 + ... + 15638.

Almost surely, 2102047000 is an apocalyptic number.

102047000 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 102047000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130263120).

102047000 is an abundant number, since it is smaller than the sum of its proper divisors (158479240).

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

102047000 is a wasteful number, since it uses less digits than its factorization.

102047000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9309 (or 9295 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 102047000 is about 10101.8315171062. The cubic root of 102047000 is about 467.3046263419.

Adding to 102047000 its reverse (740201), we get a palindrome (102787201).

The spelling of 102047000 in words is "one hundred two million, forty-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 9277 11000 18554 37108 46385 74216 92770 102047 185540 204094 231925 371080 408188 463850 510235 816376 927700 1020470 1159625 1855400 2040940 2319250 2551175 4081880 4638500 5102350 9277000 10204700 12755875 20409400 25511750 51023500 102047000