Search a number
-
+
103120080 = 2435761381
BaseRepresentation
bin1100010010101…
…11110011010000
321012001001011020
412021113303100
5202344320310
614122115440
72361335430
oct611276320
9235031136
10103120080
1153232708
122a64bb80
13184969cb
14d9a42c0
1590be170
hex6257cd0

103120080 has 80 divisors (see below), whose sum is σ = 365345664. Its totient is φ = 23569920.

The previous prime is 103120067. The next prime is 103120097. The reversal of 103120080 is 80021301.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29011 + ... + 32370.

Almost surely, 2103120080 is an apocalyptic number.

103120080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103120080 is an abundant number, since it is smaller than the sum of its proper divisors (262225584).

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

103120080 is a wasteful number, since it uses less digits than its factorization.

103120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61404 (or 61398 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 103120080 is about 10154.8057588513. The cubic root of 103120080 is about 468.9369060867.

Adding to 103120080 its reverse (80021301), we get a palindrome (183141381).

The spelling of 103120080 in words is "one hundred three million, one hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 61381 122762 184143 245524 306905 368286 429667 491048 613810 736572 859334 920715 982096 1227620 1289001 1473144 1718668 1841430 2148335 2455240 2578002 2946288 3437336 3682860 4296670 4910480 5156004 6445005 6874672 7365720 8593340 10312008 12890010 14731440 17186680 20624016 25780020 34373360 51560040 103120080