Search a number
-
+
103425750 = 23253431069
BaseRepresentation
bin1100010101000…
…10011011010110
321012121120110100
412022202123112
5202434111000
614132434530
72364050541
oct612423326
9235546410
10103425750
115342132a
122a778a46
1318572b8c
14da43858
15912ea00
hex62a26d6

103425750 has 96 divisors (see below), whose sum is σ = 286434720. Its totient is φ = 26913600.

The previous prime is 103425731. The next prime is 103425769. The reversal of 103425750 is 57524301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103425731) and next prime (103425769).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96216 + ... + 97284.

It is an arithmetic number, because the mean of its divisors is an integer number (2983695).

Almost surely, 2103425750 is an apocalyptic number.

103425750 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 103425750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143217360).

103425750 is an abundant number, since it is smaller than the sum of its proper divisors (183008970).

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

103425750 is a wasteful number, since it uses less digits than its factorization.

103425750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 103425750 is about 10169.8451315642. The cubic root of 103425750 is about 469.3997921601.

The spelling of 103425750 in words is "one hundred three million, four hundred twenty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 125 129 150 215 225 250 258 375 387 430 450 645 750 774 1069 1075 1125 1290 1935 2138 2150 2250 3207 3225 3870 5345 5375 6414 6450 9621 9675 10690 10750 16035 16125 19242 19350 26725 32070 32250 45967 48105 48375 53450 80175 91934 96210 96750 133625 137901 160350 229835 240525 267250 275802 400875 413703 459670 481050 689505 801750 827406 1149175 1202625 1379010 2068515 2298350 2405250 3447525 4137030 5745875 6895050 10342575 11491750 17237625 20685150 34475250 51712875 103425750