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120505050 = 23352233881
BaseRepresentation
bin1110010111011…
…00001011011010
322101202021212000
413023230023122
5221322130200
615542501430
72662163451
oct713541332
9271667760
10120505050
1162027256
1234434876
131bc72a83
141200bb98
15a8a5300
hex72ec2da

120505050 has 96 divisors (see below), whose sum is σ = 346584960. Its totient is φ = 30729600.

The previous prime is 120505043. The next prime is 120505051. The reversal of 120505050 is 50505021.

120505050 is a nontrivial binomial coefficient, being equal to C(15525, 2).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120505051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29110 + ... + 32990.

It is an arithmetic number, because the mean of its divisors is an integer number (3610260).

Almost surely, 2120505050 is an apocalyptic number.

120505050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120505050 is the 15524-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120505050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173292480).

120505050 is an abundant number, since it is smaller than the sum of its proper divisors (226079910).

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

120505050 is a wasteful number, since it uses less digits than its factorization.

120505050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 120505050 is about 10977.4792188371. The cubic root of 120505050 is about 493.9334243467.

The spelling of 120505050 in words is "one hundred twenty million, five hundred five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 90 115 135 138 150 207 225 230 270 345 414 450 575 621 675 690 1035 1150 1242 1350 1725 2070 3105 3450 3881 5175 6210 7762 10350 11643 15525 19405 23286 31050 34929 38810 58215 69858 89263 97025 104787 116430 174645 178526 194050 209574 267789 291075 349290 446315 523935 535578 582150 803367 873225 892630 1047870 1338945 1606734 1746450 2231575 2410101 2619675 2677890 4016835 4463150 4820202 5239350 6694725 8033670 12050505 13389450 20084175 24101010 40168350 60252525 120505050