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107371000 = 23531143227
BaseRepresentation
bin1100110011001…
…01100111111000
321111001000022201
412121211213320
5204441333000
614353155544
72442431662
oct631454770
9244030281
10107371000
1155676470
122bb5bbb4
1319324849
141038d532
15965d96a
hex66659f8

107371000 has 128 divisors (see below), whose sum is σ = 281698560. Its totient is φ = 37968000.

The previous prime is 107370971. The next prime is 107371009. The reversal of 107371000 is 173701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107371009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472887 + ... + 473113.

It is an arithmetic number, because the mean of its divisors is an integer number (2200770).

Almost surely, 2107371000 is an apocalyptic number.

107371000 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 107371000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140849280).

107371000 is an abundant number, since it is smaller than the sum of its proper divisors (174327560).

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

107371000 is a wasteful number, since it uses less digits than its factorization.

107371000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 19.

The square root of 107371000 is about 10361.9978768575. The cubic root of 107371000 is about 475.2940008164.

The spelling of 107371000 in words is "one hundred seven million, three hundred seventy-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 125 172 200 215 220 227 250 275 344 430 440 454 473 500 550 860 908 946 1000 1075 1100 1135 1375 1720 1816 1892 2150 2200 2270 2365 2497 2750 3784 4300 4540 4730 4994 5375 5500 5675 8600 9080 9460 9761 9988 10750 11000 11350 11825 12485 18920 19522 19976 21500 22700 23650 24970 28375 39044 43000 45400 47300 48805 49940 56750 59125 62425 78088 94600 97610 99880 107371 113500 118250 124850 195220 214742 227000 236500 244025 249700 312125 390440 429484 473000 488050 499400 536855 624250 858968 976100 1073710 1220125 1248500 1952200 2147420 2440250 2497000 2684275 4294840 4880500 5368550 9761000 10737100 13421375 21474200 26842750 53685500 107371000