Search a number
-
+
103036120 = 23511376329
BaseRepresentation
bin1100010010000…
…11010011011000
321011212202222121
412021003103120
5202334123440
614120231024
72360535565
oct611032330
9234782877
10103036120
1153185620
122a60b474
1318467725
14d98186c
1590a434a
hex62434d8

103036120 has 64 divisors (see below), whose sum is σ = 259783200. Its totient is φ = 36449280.

The previous prime is 103036103. The next prime is 103036139. The reversal of 103036120 is 21630301.

It is a junction number, because it is equal to n+sod(n) for n = 103036094 and 103036103.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13116 + ... + 19444.

Almost surely, 2103036120 is an apocalyptic number.

103036120 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 103036120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129891600).

103036120 is an abundant number, since it is smaller than the sum of its proper divisors (156747080).

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

103036120 is a wasteful number, since it uses less digits than its factorization.

103036120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6388 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 103036120 is about 10150.6709137869. The cubic root of 103036120 is about 468.8096026137.

Adding to 103036120 its reverse (21630301), we get a palindrome (124666421).

The spelling of 103036120 in words is "one hundred three million, thirty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1480 1628 2035 3256 4070 6329 8140 12658 16280 25316 31645 50632 63290 69619 126580 139238 234173 253160 278476 348095 468346 556952 696190 936692 1170865 1392380 1873384 2341730 2575903 2784760 4683460 5151806 9366920 10303612 12879515 20607224 25759030 51518060 103036120