Search a number
-
+
15252124000 = 255331123001
BaseRepresentation
bin11100011010001100…
…01111000101100000
31110100221120011210111
432031012033011200
5222214020432000
611001241541104
71046650625551
oct161506170540
943327504714
1015252124000
116517476563
122b57aa4794
131590b53459
14a498d4328
155e4017cba
hex38d18f160

15252124000 has 96 divisors (see below), whose sum is σ = 38683636992. Its totient is φ = 5904000000.

The previous prime is 15252123967. The next prime is 15252124001. The reversal of 15252124000 is 42125251.

It is a super-2 number, since 2×152521240002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15252124001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62500 + ... + 185500.

It is an arithmetic number, because the mean of its divisors is an integer number (402954552).

Almost surely, 215252124000 is an apocalyptic number.

15252124000 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 15252124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19341818496).

15252124000 is an abundant number, since it is smaller than the sum of its proper divisors (23431512992).

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

15252124000 is a wasteful number, since it uses less digits than its factorization.

15252124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123057 (or 123039 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 15252124000 its reverse (42125251), we get a palindrome (15294249251).

The spelling of 15252124000 in words is "fifteen billion, two hundred fifty-two million, one hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 775 800 992 1000 1240 1550 2000 2480 3100 3875 4000 4960 6200 7750 12400 15500 24800 31000 62000 123001 124000 246002 492004 615005 984008 1230010 1968016 2460020 3075025 3813031 3936032 4920040 6150050 7626062 9840080 12300100 15252124 15375125 19065155 19680160 24600200 30504248 30750250 38130310 49200400 61008496 61500500 76260620 95325775 98400800 122016992 123001000 152521240 190651550 246002000 305042480 381303100 476628875 492004000 610084960 762606200 953257750 1525212400 1906515500 3050424800 3813031000 7626062000 15252124000