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107438250 = 2353314621
BaseRepresentation
bin1100110011101…
…10000010101010
321111011102120110
412121312002222
5210001011000
614354435150
72443132023
oct631660252
9244142513
10107438250
1155711a47
122bb92ab6
131934933a
14103a9c4a
159673850
hex66760aa

107438250 has 64 divisors (see below), whose sum is σ = 276876288. Its totient is φ = 27720000.

The previous prime is 107438239. The next prime is 107438257. The reversal of 107438250 is 52834701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (107438257) 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 31 ways as a sum of consecutive naturals, for example, 20940 + ... + 25560.

It is an arithmetic number, because the mean of its divisors is an integer number (4326192).

Almost surely, 2107438250 is an apocalyptic number.

107438250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107438250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138438144).

107438250 is an abundant number, since it is smaller than the sum of its proper divisors (169438038).

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

107438250 is a wasteful number, since it uses less digits than its factorization.

107438250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 107438250 is about 10365.2423994811. The cubic root of 107438250 is about 475.3932108781.

The spelling of 107438250 in words is "one hundred seven million, four hundred thirty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 125 150 155 186 250 310 375 465 750 775 930 1550 2325 3875 4621 4650 7750 9242 11625 13863 23105 23250 27726 46210 69315 115525 138630 143251 231050 286502 346575 429753 577625 693150 716255 859506 1155250 1432510 1732875 2148765 3465750 3581275 4297530 7162550 10743825 17906375 21487650 35812750 53719125 107438250