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103414230 = 232517257263
BaseRepresentation
bin1100010100111…
…11100111010110
321012120222122200
412022133213112
5202433223410
614132305330
72364002133
oct612374726
9235528580
10103414230
1153413707
122a772246
131856a86a
14da3d58a
15912b3c0
hex629f9d6

103414230 has 96 divisors (see below), whose sum is σ = 286887744. Its totient is φ = 25755648.

The previous prime is 103414229. The next prime is 103414231. The reversal of 103414230 is 32414301.

It is an interprime number because it is at equal distance from previous prime (103414229) and next prime (103414231).

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 (103414231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393079 + ... + 393341.

It is an arithmetic number, because the mean of its divisors is an integer number (2988414).

Almost surely, 2103414230 is an apocalyptic number.

103414230 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 103414230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143443872).

103414230 is an abundant number, since it is smaller than the sum of its proper divisors (183473514).

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

103414230 is a wasteful number, since it uses less digits than its factorization.

103414230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103414230 is about 10169.2787354856. The cubic root of 103414230 is about 469.3823635978.

Adding to 103414230 its reverse (32414301), we get a palindrome (135828531).

The spelling of 103414230 in words is "one hundred three million, four hundred fourteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 257 263 306 510 514 526 765 771 789 1285 1315 1530 1542 1578 2313 2367 2570 2630 3855 3945 4369 4471 4626 4734 7710 7890 8738 8942 11565 11835 13107 13413 21845 22355 23130 23670 26214 26826 39321 40239 43690 44710 65535 67065 67591 78642 80478 131070 134130 135182 196605 201195 202773 337955 393210 402390 405546 608319 675910 1013865 1149047 1216638 2027730 2298094 3041595 3447141 5745235 6083190 6894282 10341423 11490470 17235705 20682846 34471410 51707115 103414230