Search a number
-
+
103035400 = 235213231723
BaseRepresentation
bin1100010010000…
…11001000001000
321011212201222221
412021003020020
5202334113100
614120223424
72360533516
oct611031010
9234781887
10103035400
1153185026
122a60ab74
13184672c0
14d9814b6
1590a401a
hex6243208

103035400 has 96 divisors (see below), whose sum is σ = 269357760. Its totient is φ = 36368640.

The previous prime is 103035379. The next prime is 103035407. The reversal of 103035400 is 4530301.

It is not an unprimeable number, because it can be changed into a prime (103035407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58939 + ... + 60661.

It is an arithmetic number, because the mean of its divisors is an integer number (2805810).

Almost surely, 2103035400 is an apocalyptic number.

103035400 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 103035400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134678880).

103035400 is an abundant number, since it is smaller than the sum of its proper divisors (166322360).

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

103035400 is a wasteful number, since it uses less digits than its factorization.

103035400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 103035400 is about 10150.6354480890. The cubic root of 103035400 is about 468.8085106222.

Adding to 103035400 its reverse (4530301), we get a palindrome (107565701).

The spelling of 103035400 in words is "one hundred three million, thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 23 25 26 40 46 50 52 65 92 100 104 115 130 184 200 230 260 299 325 460 520 575 598 650 920 1150 1196 1300 1495 1723 2300 2392 2600 2990 3446 4600 5980 6892 7475 8615 11960 13784 14950 17230 22399 29900 34460 39629 43075 44798 59800 68920 79258 86150 89596 111995 158516 172300 179192 198145 223990 317032 344600 396290 447980 515177 559975 792580 895960 990725 1030354 1119950 1585160 1981450 2060708 2239900 2575885 3962900 4121416 4479800 5151770 7925800 10303540 12879425 20607080 25758850 51517700 103035400