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1124225040 = 24358356437
BaseRepresentation
bin100001100000010…
…0101000000010000
32220100102112211110
41003000211000100
54300300200130
6303320013320
736600520011
oct10300450020
92810375743
101124225040
11527660a04
12274601240
1314bbb3223
14a9447008
1568a6dab0
hex43025010

1124225040 has 80 divisors (see below), whose sum is σ = 3527149248. Its totient is φ = 296176128.

The previous prime is 1124225023. The next prime is 1124225077. The reversal of 1124225040 is 405224211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1124224998 and 1124225016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8299 + ... + 48138.

Almost surely, 21124225040 is an apocalyptic number.

1124225040 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 1124225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763574624).

1124225040 is an abundant number, since it is smaller than the sum of its proper divisors (2402924208).

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

1124225040 is a wasteful number, since it uses less digits than its factorization.

1124225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56536 (or 56530 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1124225040 is about 33529.4652507313. The cubic root of 1124225040 is about 1039.8030445569.

Adding to 1124225040 its reverse (405224211), we get a palindrome (1529449251).

The spelling of 1124225040 in words is "one billion, one hundred twenty-four million, two hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1245 1328 1660 1992 2490 3320 3984 4980 6640 9960 19920 56437 112874 169311 225748 282185 338622 451496 564370 677244 846555 902992 1128740 1354488 1693110 2257480 2708976 3386220 4514960 4684271 6772440 9368542 13544880 14052813 18737084 23421355 28105626 37474168 46842710 56211252 70264065 74948336 93685420 112422504 140528130 187370840 224845008 281056260 374741680 562112520 1124225040