Search a number
-
+
103080150 = 232523741151
BaseRepresentation
bin1100010010011…
…10000011010110
321011222000101100
412021032003112
5202342031100
614121210530
72361111135
oct611160326
9234860340
10103080150
1153205708
122a630a46
1318481794
14d99391c
1590b2400
hex624e0d6

103080150 has 144 divisors (see below), whose sum is σ = 293293728. Its totient is φ = 25920000.

The previous prime is 103080127. The next prime is 103080157. The reversal of 103080150 is 51080301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103080157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 682575 + ... + 682725.

It is an arithmetic number, because the mean of its divisors is an integer number (2036762).

Almost surely, 2103080150 is an apocalyptic number.

103080150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103080150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146646864).

103080150 is an abundant number, since it is smaller than the sum of its proper divisors (190213578).

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

103080150 is a wasteful number, since it uses less digits than its factorization.

103080150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 103080150 is about 10152.8395042963. The cubic root of 103080150 is about 468.8763712616.

The spelling of 103080150 in words is "one hundred three million, eighty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 41 45 50 74 75 82 90 111 123 150 151 185 205 222 225 246 302 333 369 370 410 450 453 555 615 666 738 755 906 925 1025 1110 1230 1359 1510 1517 1665 1845 1850 2050 2265 2718 2775 3034 3075 3330 3690 3775 4530 4551 5550 5587 6150 6191 6795 7550 7585 8325 9102 9225 11174 11325 12382 13590 13653 15170 16650 16761 18450 18573 22650 22755 27306 27935 30955 33522 33975 37146 37925 45510 50283 55719 55870 61910 67950 68265 75850 83805 92865 100566 111438 113775 136530 139675 154775 167610 185730 227550 229067 251415 278595 279350 309550 341325 419025 458134 464325 502830 557190 682650 687201 838050 928650 1145335 1257075 1374402 1392975 2061603 2290670 2514150 2785950 3436005 4123206 5726675 6872010 10308015 11453350 17180025 20616030 34360050 51540075 103080150