Search a number
-
+
109302000 = 2435318217
BaseRepresentation
bin1101000001111…
…01000011110000
321121200010011020
412200331003300
5210440131000
614502415440
72465023503
oct640750360
9247603136
10109302000
1156775235
1230731580
131984c752
141073313a
1598e0ba0
hex683d0f0

109302000 has 80 divisors (see below), whose sum is σ = 352408992. Its totient is φ = 29145600.

The previous prime is 109301999. The next prime is 109302013. The reversal of 109302000 is 203901.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3109 + ... + 15108.

Almost surely, 2109302000 is an apocalyptic number.

109302000 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 109302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176204496).

109302000 is an abundant number, since it is smaller than the sum of its proper divisors (243106992).

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

109302000 is a wasteful number, since it uses less digits than its factorization.

109302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18243 (or 18227 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 109302000 is about 10454.7596815996. The cubic root of 109302000 is about 478.1263766033.

Adding to 109302000 its reverse (203901), we get a palindrome (109505901).

The spelling of 109302000 in words is "one hundred nine million, three hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 18217 36434 54651 72868 91085 109302 145736 182170 218604 273255 291472 364340 437208 455425 546510 728680 874416 910850 1093020 1366275 1457360 1821700 2186040 2277125 2732550 3643400 4372080 4554250 5465100 6831375 7286800 9108500 10930200 13662750 18217000 21860400 27325500 36434000 54651000 109302000