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120345400 = 23527671283
BaseRepresentation
bin1110010110001…
…01001100111000
322101110011212001
413023011030320
5221302023100
615535230344
72660630140
oct713051470
9271404761
10120345400
1161a2830a
12343783b4
131bc181c6
1411da9920
15a872d6a
hex72c5338

120345400 has 96 divisors (see below), whose sum is σ = 324800640. Its totient is φ = 40613760.

The previous prime is 120345383. The next prime is 120345403. The reversal of 120345400 is 4543021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120345403) 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 23 ways as a sum of consecutive naturals, for example, 93159 + ... + 94441.

It is an arithmetic number, because the mean of its divisors is an integer number (3383340).

Almost surely, 2120345400 is an apocalyptic number.

120345400 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 120345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162400320).

120345400 is an abundant number, since it is smaller than the sum of its proper divisors (204455240).

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

120345400 is a wasteful number, since it uses less digits than its factorization.

120345400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 120345400 is about 10970.2051029140. The cubic root of 120345400 is about 493.7152002392.

Adding to 120345400 its reverse (4543021), we get a palindrome (124888421).

The spelling of 120345400 in words is "one hundred twenty million, three hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 67 70 100 134 140 175 200 268 280 335 350 469 536 670 700 938 1283 1340 1400 1675 1876 2345 2566 2680 3350 3752 4690 5132 6415 6700 8981 9380 10264 11725 12830 13400 17962 18760 23450 25660 32075 35924 44905 46900 51320 64150 71848 85961 89810 93800 128300 171922 179620 224525 256600 343844 359240 429805 449050 601727 687688 859610 898100 1203454 1719220 1796200 2149025 2406908 3008635 3438440 4298050 4813816 6017270 8596100 12034540 15043175 17192200 24069080 30086350 60172700 120345400