Search a number
-
+
10157250 = 235329467
BaseRepresentation
bin100110101111…
…110011000010
3201010001010110
4212233303002
510100013000
61001412150
7152222655
oct46576302
921101113
1010157250
115808324
12349a056
13214830c
1414c589c
15d59850
hex9afcc2

10157250 has 64 divisors (see below), whose sum is σ = 26282880. Its totient is φ = 2609600.

The previous prime is 10157239. The next prime is 10157269. The reversal of 10157250 is 5275101.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 21517 + ... + 21983.

It is an arithmetic number, because the mean of its divisors is an integer number (410670).

Almost surely, 210157250 is an apocalyptic number.

10157250 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 10157250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13141440).

10157250 is an abundant number, since it is smaller than the sum of its proper divisors (16125630).

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

10157250 is a wasteful number, since it uses less digits than its factorization.

10157250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 10157250 is about 3187.0440850418. The cubic root of 10157250 is about 216.5668837049.

The spelling of 10157250 in words is "ten million, one hundred fifty-seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 125 145 150 174 250 290 375 435 467 725 750 870 934 1401 1450 2175 2335 2802 3625 4350 4670 7005 7250 10875 11675 13543 14010 21750 23350 27086 35025 40629 58375 67715 70050 81258 116750 135430 175125 203145 338575 350250 406290 677150 1015725 1692875 2031450 3385750 5078625 10157250