Search a number
-
+
103022080 = 29575749
BaseRepresentation
bin1100010001111…
…11111000000000
321011212001201121
412020333320000
5202333201310
614120042024
72360446630
oct610777000
9234761647
10103022080
1153176017
122a603314
1318461215
14d97a6c0
1590a00da
hex623fe00

103022080 has 80 divisors (see below), whose sum is σ = 282348000. Its totient is φ = 35315712.

The previous prime is 103022077. The next prime is 103022093. The reversal of 103022080 is 80220301.

It is a happy number.

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

It is a super-2 number, since 2×1030220802 = 21227097935052800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15046 + ... + 20794.

It is an arithmetic number, because the mean of its divisors is an integer number (3529350).

Almost surely, 2103022080 is an apocalyptic number.

103022080 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 103022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141174000).

103022080 is an abundant number, since it is smaller than the sum of its proper divisors (179325920).

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

103022080 is an frugal number, since it uses more digits than its factorization.

103022080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5779 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 103022080 is about 10149.9793103237. The cubic root of 103022080 is about 468.7883078619.

Adding to 103022080 its reverse (80220301), we get a palindrome (183242381).

The spelling of 103022080 in words is "one hundred three million, twenty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 5749 8960 11498 17920 22996 28745 40243 45992 57490 80486 91984 114980 160972 183968 201215 229960 321944 367936 402430 459920 643888 735872 804860 919840 1287776 1471744 1609720 1839680 2575552 2943488 3219440 3679360 5151104 6438880 7358720 10302208 12877760 14717440 20604416 25755520 51511040 103022080