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1124102720 = 26513270217
BaseRepresentation
bin100001100000000…
…0111001001000000
32220100012100001002
41003000013021000
54300232241340
6303313231132
736566500256
oct10300071100
92810170032
101124102720
11527588014
122745624a8
1314bb6c650
14a94145d6
1568a47715
hex43007240

1124102720 has 56 divisors (see below), whose sum is σ = 2882685624. Its totient is φ = 415051776.

The previous prime is 1124102701. The next prime is 1124102723. The reversal of 1124102720 is 272014211.

It can be written as a sum of positive squares in 4 ways, for example, as 1048576 + 1123054144 = 1024^2 + 33512^2 .

It is a super-3 number, since 3×11241027203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1124102692 and 1124102701.

It is not an unprimeable number, because it can be changed into a prime (1124102723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130949 + ... + 139268.

It is an arithmetic number, because the mean of its divisors is an integer number (51476529).

Almost surely, 21124102720 is an apocalyptic number.

1124102720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1124102720 is an abundant number, since it is smaller than the sum of its proper divisors (1758582904).

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

1124102720 is a wasteful number, since it uses less digits than its factorization.

1124102720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270247 (or 270237 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 1124102720 is about 33527.6411338466. The cubic root of 1124102720 is about 1039.7653316682.

Adding to 1124102720 its reverse (272014211), we get a palindrome (1396116931).

The spelling of 1124102720 in words is "one billion, one hundred twenty-four million, one hundred two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 270217 540434 1080868 1351085 2161736 2702170 3512821 4323472 5404340 7025642 8646944 10808680 14051284 17293888 17564105 21617360 28102568 35128210 43234720 56205136 70256420 86469440 112410272 140512840 224820544 281025680 562051360 1124102720