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107987000 = 2353119817
BaseRepresentation
bin1100110111111…
…00000000111000
321112012022022112
412123330000320
5210121041000
614414311452
72450605622
oct633740070
9245168275
10107987000
1155a57260
12301b8588
13194ac044
14104adc12
159731235
hex66fc038

107987000 has 64 divisors (see below), whose sum is σ = 275689440. Its totient is φ = 39264000.

The previous prime is 107986999. The next prime is 107987003. The reversal of 107987000 is 789701.

It is a super-2 number, since 2×1079870002 = 23322384338000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107987003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6092 + ... + 15908.

Almost surely, 2107987000 is an apocalyptic number.

107987000 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 107987000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137844720).

107987000 is an abundant number, since it is smaller than the sum of its proper divisors (167702440).

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

107987000 is a wasteful number, since it uses less digits than its factorization.

107987000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9849 (or 9835 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 32.

The square root of 107987000 is about 10391.6793637987. The cubic root of 107987000 is about 476.2012072185.

The spelling of 107987000 in words is "one hundred seven million, nine hundred eighty-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 9817 11000 19634 39268 49085 78536 98170 107987 196340 215974 245425 392680 431948 490850 539935 863896 981700 1079870 1227125 1963400 2159740 2454250 2699675 4319480 4908500 5399350 9817000 10798700 13498375 21597400 26996750 53993500 107987000