Search a number
-
+
103028080 = 24541101311
BaseRepresentation
bin1100010010000…
…01010101110000
321011212100221211
412021001111300
5202333344310
614120125504
72360503261
oct611012560
9234770854
10103028080
115317a581
122a606894
1318463b7c
14d97c968
1590a1c8a
hex6241570

103028080 has 80 divisors (see below), whose sum is σ = 248609088. Its totient is φ = 39680000.

The previous prime is 103028077. The next prime is 103028099. The reversal of 103028080 is 80820301.

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

It is a super-2 number, since 2×1030280802 = 21229570536972800, which contains 22 as substring.

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, 331125 + ... + 331435.

Almost surely, 2103028080 is an apocalyptic number.

103028080 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 103028080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124304544).

103028080 is an abundant number, since it is smaller than the sum of its proper divisors (145581008).

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

103028080 is a wasteful number, since it uses less digits than its factorization.

103028080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 103028080 is about 10150.2748731254. The cubic root of 103028080 is about 468.7974084199.

Adding to 103028080 its reverse (80820301), we get a palindrome (183848381).

The spelling of 103028080 in words is "one hundred three million, twenty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 101 164 202 205 311 328 404 410 505 622 656 808 820 1010 1244 1555 1616 1640 2020 2488 3110 3280 4040 4141 4976 6220 8080 8282 12440 12751 16564 20705 24880 25502 31411 33128 41410 51004 62822 63755 66256 82820 102008 125644 127510 157055 165640 204016 251288 255020 314110 331280 502576 510040 628220 1020080 1256440 1287851 2512880 2575702 5151404 6439255 10302808 12878510 20605616 25757020 51514040 103028080