[go: up one dir, main page]

Search a number
-
+
1124530000 = 24541110223
BaseRepresentation
bin100001100000110…
…1111011101010000
32220101000001011021
41003001233131100
54300334430000
6303330325224
736603230056
oct10301573520
92811001137
101124530000
1152784a040
12274729814
1314bc8bc89
14a94c61d6
1568ace11a
hex4306f750

1124530000 has 100 divisors (see below), whose sum is σ = 2970399168. Its totient is φ = 408880000.

The previous prime is 1124529983. The next prime is 1124530027. The reversal of 1124530000 is 354211.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104889 + ... + 115111.

Almost surely, 21124530000 is an apocalyptic number.

1124530000 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 1124530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485199584).

1124530000 is an abundant number, since it is smaller than the sum of its proper divisors (1845869168).

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

1124530000 is a wasteful number, since it uses less digits than its factorization.

1124530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10262 (or 10241 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1124530000 is about 33534.0125842405. The cubic root of 1124530000 is about 1039.8970558854.

Adding to 1124530000 its reverse (354211), we get a palindrome (1124884211).

The spelling of 1124530000 in words is "one billion, one hundred twenty-four million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 10223 11000 13750 20446 22000 27500 40892 51115 55000 81784 102230 110000 112453 163568 204460 224906 255575 408920 449812 511150 562265 817840 899624 1022300 1124530 1277875 1799248 2044600 2249060 2555750 2811325 4089200 4498120 5111500 5622650 6389375 8996240 10223000 11245300 12778750 14056625 20446000 22490600 25557500 28113250 44981200 51115000 56226500 70283125 102230000 112453000 140566250 224906000 281132500 562265000 1124530000