Search a number
-
+
103950500 = 22532967107
BaseRepresentation
bin1100011001000…
…10100010100100
321020121020021112
412030202202210
5203102404000
614152004152
72401364453
oct614424244
9236536245
10103950500
115374a605
122a990658
13186c7994
14db3cb9a
1591d5235
hex63228a4

103950500 has 96 divisors (see below), whose sum is σ = 240589440. Its totient is φ = 39177600.

The previous prime is 103950499. The next prime is 103950521. The reversal of 103950500 is 5059301.

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, 971447 + ... + 971553.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2103950500 is an apocalyptic number.

103950500 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 103950500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

103950500 is an abundant number, since it is smaller than the sum of its proper divisors (136638940).

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

103950500 is a wasteful number, since it uses less digits than its factorization.

103950500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 103950500 is about 10195.6118011623. The cubic root of 103950500 is about 470.1923160456.

The spelling of 103950500 in words is "one hundred three million, nine hundred fifty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 67 100 107 116 125 134 145 214 250 268 290 335 428 500 535 580 670 725 1070 1340 1450 1675 1943 2140 2675 2900 3103 3350 3625 3886 5350 6206 6700 7169 7250 7772 8375 9715 10700 12412 13375 14338 14500 15515 16750 19430 26750 28676 31030 33500 35845 38860 48575 53500 62060 71690 77575 97150 143380 155150 179225 194300 207901 242875 310300 358450 387875 415802 485750 716900 775750 831604 896125 971500 1039505 1551500 1792250 2079010 3584500 4158020 5197525 10395050 20790100 25987625 51975250 103950500