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120242200 = 235213103449
BaseRepresentation
bin1110010101011…
…00000000011000
322101020221021211
413022230000120
5221240222300
615533112504
72660020231
oct712540030
9271227254
10120242200
1161967821
1234328734
131bbb0240
1411d80088
15a8524ba
hex72ac018

120242200 has 96 divisors (see below), whose sum is σ = 304668000. Its totient is φ = 43868160.

The previous prime is 120242197. The next prime is 120242201. The reversal of 120242200 is 2242021.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120242201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267576 + ... + 268024.

It is an arithmetic number, because the mean of its divisors is an integer number (3173625).

Almost surely, 2120242200 is an apocalyptic number.

120242200 is a gapful number since it is divisible by the number (10) 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 120242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152334000).

120242200 is an abundant number, since it is smaller than the sum of its proper divisors (184425800).

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

120242200 is a wasteful number, since it uses less digits than its factorization.

120242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 120242200 is about 10965.5004445762. The cubic root of 120242200 is about 493.5740343956.

Adding to 120242200 its reverse (2242021), we get a palindrome (122484221).

The spelling of 120242200 in words is "one hundred twenty million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 103 104 130 200 206 260 325 412 449 515 520 650 824 898 1030 1300 1339 1796 2060 2245 2575 2600 2678 3592 4120 4490 5150 5356 5837 6695 8980 10300 10712 11225 11674 13390 17960 20600 22450 23348 26780 29185 33475 44900 46247 46696 53560 58370 66950 89800 92494 116740 133900 145925 184988 231235 233480 267800 291850 369976 462470 583700 601211 924940 1156175 1167400 1202422 1849880 2312350 2404844 3006055 4624700 4809688 6012110 9249400 12024220 15030275 24048440 30060550 60121100 120242200