Search a number
-
+
10149750 = 2325313347
BaseRepresentation
bin100110101101…
…111101110110
3201002122211200
4212231331312
510044243000
61001313330
7152162052
oct46557566
921078750
1010149750
115802726
123495846
132144a90
1414c2c62
15d57500
hex9adf76

10149750 has 96 divisors (see below), whose sum is σ = 29641248. Its totient is φ = 2491200.

The previous prime is 10149721. The next prime is 10149823. The reversal of 10149750 is 5794101.

It is a super-3 number, since 3×101497503 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

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, 29077 + ... + 29423.

It is an arithmetic number, because the mean of its divisors is an integer number (308763).

It is a vampire number, since it can be written as 10419750 (with its own digits).

Almost surely, 210149750 is an apocalyptic number.

10149750 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 10149750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14820624).

10149750 is an abundant number, since it is smaller than the sum of its proper divisors (19491498).

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

10149750 is a wasteful number, since it uses less digits than its factorization.

10149750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 10149750 is about 3185.8672288719. The cubic root of 10149750 is about 216.5135670569.

The spelling of 10149750 in words is "ten million, one hundred forty-nine thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 125 130 150 195 225 234 250 325 347 375 390 450 585 650 694 750 975 1041 1125 1170 1625 1735 1950 2082 2250 2925 3123 3250 3470 4511 4875 5205 5850 6246 8675 9022 9750 10410 13533 14625 15615 17350 22555 26025 27066 29250 31230 40599 43375 45110 52050 67665 78075 81198 86750 112775 130125 135330 156150 202995 225550 260250 338325 390375 405990 563875 676650 780750 1014975 1127750 1691625 2029950 3383250 5074875 10149750