Search a number
-
+
120002320 = 2451788237
BaseRepresentation
bin1110010011100…
…01011100010000
322100210202020101
413021301130100
5221210033240
615524022144
72655000664
oct711613420
9270722211
10120002320
1161813579
1234231954
131bb27cb9
1411d1a8a4
15a80639a
hex7271710

120002320 has 40 divisors (see below), whose sum is σ = 295420824. Its totient is φ = 45176832.

The previous prime is 120002299. The next prime is 120002357. The reversal of 120002320 is 23200021.

It can be written as a sum of positive squares in 4 ways, for example, as 20322064 + 99680256 = 4508^2 + 9984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120002297 and 120002306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42759 + ... + 45478.

Almost surely, 2120002320 is an apocalyptic number.

120002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120002320 is an abundant number, since it is smaller than the sum of its proper divisors (175418504).

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

120002320 is a wasteful number, since it uses less digits than its factorization.

120002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88267 (or 88261 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 120002320 is about 10954.5570426193. The cubic root of 120002320 is about 493.2455935189.

Adding to 120002320 its reverse (23200021), we get a palindrome (143202341).

The spelling of 120002320 in words is "one hundred twenty million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 88237 176474 352948 441185 705896 882370 1411792 1500029 1764740 3000058 3529480 6000116 7058960 7500145 12000232 15000290 24000464 30000580 60001160 120002320