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1123742120 = 235181269577
BaseRepresentation
bin100001011111010…
…1111000110101000
32220022112000101112
41002332233012220
54300134221440
6303301405452
736563436044
oct10276570650
92808460345
101123742120
115273610a6
12274409888
1314ba74487
14a935d024
15689c5965
hex42faf1a8

1123742120 has 64 divisors (see below), whose sum is σ = 2556262800. Its totient is φ = 444579840.

The previous prime is 1123742111. The next prime is 1123742153. The reversal of 1123742120 is 212473211.

It can be written as a sum of positive squares in 8 ways, for example, as 223622116 + 900120004 = 14954^2 + 30002^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1947272 + ... + 1947848.

Almost surely, 21123742120 is an apocalyptic number.

1123742120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123742120 is an abundant number, since it is smaller than the sum of its proper divisors (1432520680).

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

1123742120 is a wasteful number, since it uses less digits than its factorization.

1123742120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 1123742120 is about 33522.2630500985. The cubic root of 1123742120 is about 1039.6541379516.

The spelling of 1123742120 in words is "one billion, one hundred twenty-three million, seven hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 181 269 362 538 577 724 905 1076 1154 1345 1448 1810 2152 2308 2690 2885 3620 4616 5380 5770 7240 10760 11540 23080 48689 97378 104437 155213 194756 208874 243445 310426 389512 417748 486890 522185 620852 776065 835496 973780 1044370 1241704 1552130 1947560 2088740 3104260 4177480 6208520 28093553 56187106 112374212 140467765 224748424 280935530 561871060 1123742120