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3123742120 = 2351928114627
BaseRepresentation
bin1011101000110000…
…1000010110101000
322001200212112121121
42322030020112220
522344134221440
61233544345024
7140260240612
oct27214102650
98050775547
103123742120
1113632a8764
12732175174
133aa21b825
14218c17db2
1513438834a
hexba3085a8

3123742120 has 64 divisors (see below), whose sum is σ = 7425172800. Its totient is φ = 1179440640.

The previous prime is 3123742109. The next prime is 3123742121. The reversal of 3123742120 is 212473213.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3123742121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206247 + ... + 220873.

It is an arithmetic number, because the mean of its divisors is an integer number (116018325).

Almost surely, 23123742120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123742120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712586400).

3123742120 is an abundant number, since it is smaller than the sum of its proper divisors (4301430680).

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

3123742120 is a wasteful number, since it uses less digits than its factorization.

3123742120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14938 (or 14934 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 3123742120 is about 55890.4474843421. The cubic root of 3123742120 is about 1461.8126793975.

The spelling of 3123742120 in words is "three billion, one hundred twenty-three million, seven hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 281 380 562 760 1124 1405 2248 2810 5339 5620 10678 11240 14627 21356 26695 29254 42712 53390 58508 73135 106780 117016 146270 213560 277913 292540 555826 585080 1111652 1389565 2223304 2779130 4110187 5558260 8220374 11116520 16440748 20550935 32881496 41101870 78093553 82203740 156187106 164407480 312374212 390467765 624748424 780935530 1561871060 3123742120