Search a number
-
+
103020090 = 235191491213
BaseRepresentation
bin1100010001111…
…11011000111010
321011211221222220
412020333120322
5202333120330
614120024510
72360441055
oct610773072
9234757886
10103020090
1153174578
122a602136
1318460344
14d979a9c
15909e710
hex623f63a

103020090 has 64 divisors (see below), whose sum is σ = 262224000. Its totient is φ = 25830144.

The previous prime is 103020089. The next prime is 103020097. The reversal of 103020090 is 90020301.

It is a super-2 number, since 2×1030200902 = 21226277887216200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (103020097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84324 + ... + 85536.

It is an arithmetic number, because the mean of its divisors is an integer number (4097250).

Almost surely, 2103020090 is an apocalyptic number.

103020090 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 103020090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131112000).

103020090 is an abundant number, since it is smaller than the sum of its proper divisors (159203910).

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

103020090 is a wasteful number, since it uses less digits than its factorization.

103020090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 103020090 is about 10149.8812800939. The cubic root of 103020090 is about 468.7852894321.

Adding to 103020090 its reverse (90020301), we get a palindrome (193040391).

The spelling of 103020090 in words is "one hundred three million, twenty thousand, ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 149 190 285 298 447 570 745 894 1213 1490 2235 2426 2831 3639 4470 5662 6065 7278 8493 12130 14155 16986 18195 23047 28310 36390 42465 46094 69141 84930 115235 138282 180737 230470 345705 361474 542211 691410 903685 1084422 1807370 2711055 3434003 5422110 6868006 10302009 17170015 20604018 34340030 51510045 103020090