Search a number
-
+
2532124000 = 25537212919
BaseRepresentation
bin1001011011101101…
…0010010101100000
320112110122020010101
42112323102111200
520141210432000
61055132112144
7116514461500
oct22673222540
96473566111
102532124000
11108a35526a
125a8005654
13314799133
141a0413a00
15ec473e6a
hex96ed2560

2532124000 has 144 divisors (see below), whose sum is σ = 7237732320. Its totient is φ = 868089600.

The previous prime is 2532123953. The next prime is 2532124019. The reversal of 2532124000 is 4212352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189541 + ... + 202459.

It is an arithmetic number, because the mean of its divisors is an integer number (50262030).

Almost surely, 22532124000 is an apocalyptic number.

2532124000 is a gapful number since it is divisible by the number (20) 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 2532124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618866160).

2532124000 is an abundant number, since it is smaller than the sum of its proper divisors (4705608320).

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

2532124000 is a wasteful number, since it uses less digits than its factorization.

2532124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12958 (or 12933 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2532124000 is about 50320.2146259334. The cubic root of 2532124000 is about 1362.9972822186.

Adding to 2532124000 its reverse (4212352), we get a palindrome (2536336352).

The spelling of 2532124000 in words is "two billion, five hundred thirty-two million, one hundred twenty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 125 140 160 175 196 200 224 245 250 280 350 392 400 490 500 560 700 784 800 875 980 1000 1120 1225 1400 1568 1750 1960 2000 2450 2800 3500 3920 4000 4900 5600 6125 7000 7840 9800 12250 12919 14000 19600 24500 25838 28000 39200 49000 51676 64595 90433 98000 103352 129190 180866 196000 206704 258380 322975 361732 413408 452165 516760 633031 645950 723464 904330 1033520 1266062 1291900 1446928 1614875 1808660 2067040 2260825 2532124 2583800 2893856 3165155 3229750 3617320 4521650 5064248 5167600 6330310 6459500 7234640 9043300 10128496 10335200 11304125 12660620 12919000 14469280 15825775 18086600 20256992 22608250 25321240 25838000 31651550 36173200 45216500 50642480 51676000 63303100 72346400 79128875 90433000 101284960 126606200 158257750 180866000 253212400 316515500 361732000 506424800 633031000 1266062000 2532124000