Search a number
-
+
120601098 = 23223319397
BaseRepresentation
bin1110011000000…
…11101000001010
322101221011121100
413030003220022
5221333213343
615544522230
72663043462
oct714035012
9271834540
10120601098
1162092432
1234480376
131bca76c7
1412034ba2
15a8c39d3
hex7303a0a

120601098 has 48 divisors (see below), whose sum is σ = 281488896. Its totient is φ = 37208160.

The previous prime is 120601081. The next prime is 120601099. The reversal of 120601098 is 890106021.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120601099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8136 + ... + 17532.

It is an arithmetic number, because the mean of its divisors is an integer number (5864352).

Almost surely, 2120601098 is an apocalyptic number.

120601098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120601098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140744448).

120601098 is an abundant number, since it is smaller than the sum of its proper divisors (160887798).

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

120601098 is a wasteful number, since it uses less digits than its factorization.

120601098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9459 (or 9456 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 120601098 is about 10981.8531223105. The cubic root of 120601098 is about 494.0646186239.

The spelling of 120601098 in words is "one hundred twenty million, six hundred one thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 186 207 279 414 558 713 1426 2139 4278 6417 9397 12834 18794 28191 56382 84573 169146 216131 291307 432262 582614 648393 873921 1296786 1747842 1945179 2621763 3890358 5243526 6700061 13400122 20100183 40200366 60300549 120601098