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103240410 = 23571322909
BaseRepresentation
bin1100010011101…
…01001011011010
321012021011012220
412021311023122
5202412143120
614124444510
72362346310
oct611651332
9235234186
10103240410
1153305059
122a6a9736
1318509700
14d9d60b0
1590e4b40
hex62752da

103240410 has 96 divisors (see below), whose sum is σ = 306737280. Its totient is φ = 21775104.

The previous prime is 103240391. The next prime is 103240427. The reversal of 103240410 is 14042301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103240410.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34036 + ... + 36944.

It is an arithmetic number, because the mean of its divisors is an integer number (3195180).

Almost surely, 2103240410 is an apocalyptic number.

103240410 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 103240410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153368640).

103240410 is an abundant number, since it is smaller than the sum of its proper divisors (203496870).

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

103240410 is a wasteful number, since it uses less digits than its factorization.

103240410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 103240410 is about 10160.7288124425. The cubic root of 103240410 is about 469.1192347660.

Adding to 103240410 its reverse (14042301), we get a palindrome (117282711).

The spelling of 103240410 in words is "one hundred three million, two hundred forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 169 182 195 210 273 338 390 455 507 546 845 910 1014 1183 1365 1690 2366 2535 2730 2909 3549 5070 5818 5915 7098 8727 11830 14545 17454 17745 20363 29090 35490 37817 40726 43635 61089 75634 87270 101815 113451 122178 189085 203630 226902 264719 305445 378170 491621 529438 567255 610890 794157 983242 1134510 1323595 1474863 1588314 2458105 2647190 2949726 3441347 3970785 4916210 6882694 7374315 7941570 10324041 14748630 17206735 20648082 34413470 51620205 103240410