Search a number
-
+
107067500 = 2254113379
BaseRepresentation
bin1100110000110…
…11100001101100
321110110120222222
412120123201230
5204402130000
614342454512
72440026101
oct630334154
9243416888
10107067500
1155489441
122ba34438
1319249667
1410310aa8
1595eda85
hex661b86c

107067500 has 60 divisors (see below), whose sum is σ = 236830440. Its totient is φ = 42336000.

The previous prime is 107067497. The next prime is 107067557. The reversal of 107067500 is 5760701.

It is a super-2 number, since 2×1070675002 = 22926899112500000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107067500.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 282311 + ... + 282689.

It is an arithmetic number, because the mean of its divisors is an integer number (3947174).

Almost surely, 2107067500 is an apocalyptic number.

107067500 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 107067500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118415220).

107067500 is an abundant number, since it is smaller than the sum of its proper divisors (129762940).

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

107067500 is a wasteful number, since it uses less digits than its factorization.

107067500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 107067500 is about 10347.3426540344. The cubic root of 107067500 is about 474.8457486212.

The spelling of 107067500 in words is "one hundred seven million, sixty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 125 226 250 379 452 500 565 625 758 1130 1250 1516 1895 2260 2500 2825 3790 5650 7580 9475 11300 14125 18950 28250 37900 42827 47375 56500 70625 85654 94750 141250 171308 189500 214135 236875 282500 428270 473750 856540 947500 1070675 2141350 4282700 5353375 10706750 21413500 26766875 53533750 107067500