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1124240172 = 2231131416701
BaseRepresentation
bin100001100000010…
…1000101100101100
32220100110022120220
41003000220230230
54300301141142
6303320211340
736600612066
oct10300505454
92810408526
101124240172
11527671310
12274609b50
1314bbba093
14a944c736
1568a732ec
hex43028b2c

1124240172 has 96 divisors (see below), whose sum is σ = 3026515968. Its totient is φ = 321600000.

The previous prime is 1124240167. The next prime is 1124240189. The reversal of 1124240172 is 2710424211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164422 + ... + 171122.

It is an arithmetic number, because the mean of its divisors is an integer number (31526208).

Almost surely, 21124240172 is an apocalyptic number.

1124240172 is a gapful number since it is divisible by the number (12) 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 1124240172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513257984).

1124240172 is an abundant number, since it is smaller than the sum of its proper divisors (1902275796).

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

1124240172 is a wasteful number, since it uses less digits than its factorization.

1124240172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6791 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 1124240172 is about 33529.6909022436. The cubic root of 1124240172 is about 1039.8077097644.

Adding to 1124240172 its reverse (2710424211), we get a palindrome (3834664383).

The spelling of 1124240172 in words is "one billion, one hundred twenty-four million, two hundred forty thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 41 44 62 66 82 93 123 124 132 164 186 246 341 372 451 492 682 902 1023 1271 1353 1364 1804 2046 2542 2706 3813 4092 5084 5412 6701 7626 13402 13981 15252 20103 26804 27962 40206 41943 55924 73711 80412 83886 147422 167772 207731 221133 274741 294844 415462 442266 549482 623193 824223 830924 884532 1098964 1246386 1648446 2285041 2492772 3022151 3296892 4570082 6044302 6855123 8516971 9066453 9140164 12088604 13710246 17033942 18132906 25550913 27420492 34067884 36265812 51101826 93686681 102203652 187373362 281060043 374746724 562120086 1124240172