Search a number
-
+
103401240 = 23352943691
BaseRepresentation
bin1100010100111…
…00011100011000
321012120022211120
412022130130120
5202432314430
614132125240
72363616225
oct612343430
9235508746
10103401240
1153404978
122a766820
1318564987
14da3894c
159127610
hex629c718

103401240 has 128 divisors (see below), whose sum is σ = 328838400. Its totient is φ = 25966080.

The previous prime is 103401229. The next prime is 103401253. The reversal of 103401240 is 42104301.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149295 + ... + 149985.

It is an arithmetic number, because the mean of its divisors is an integer number (2569050).

Almost surely, 2103401240 is an apocalyptic number.

103401240 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 103401240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164419200).

103401240 is an abundant number, since it is smaller than the sum of its proper divisors (225437160).

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

103401240 is a wasteful number, since it uses less digits than its factorization.

103401240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 773 counting only the distinct ones).

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

The square root of 103401240 is about 10168.6400270636. The cubic root of 103401240 is about 469.3627095256.

Adding to 103401240 its reverse (42104301), we get a palindrome (145505541).

The spelling of 103401240 in words is "one hundred three million, four hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 43 58 60 86 87 116 120 129 145 172 174 215 232 258 290 344 348 430 435 516 580 645 691 696 860 870 1032 1160 1247 1290 1382 1720 1740 2073 2494 2580 2764 3455 3480 3741 4146 4988 5160 5528 6235 6910 7482 8292 9976 10365 12470 13820 14964 16584 18705 20039 20730 24940 27640 29713 29928 37410 40078 41460 49880 59426 60117 74820 80156 82920 89139 100195 118852 120234 148565 149640 160312 178278 200390 237704 240468 297130 300585 356556 400780 445695 480936 594260 601170 713112 801560 861677 891390 1188520 1202340 1723354 1782780 2404680 2585031 3446708 3565560 4308385 5170062 6893416 8616770 10340124 12925155 17233540 20680248 25850310 34467080 51700620 103401240