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120425240 = 235132310069
BaseRepresentation
bin1110010110110…
…00101100011000
322101121020101002
413023120230120
5221312101430
615541044132
72661411665
oct713305430
9271536332
10120425240
1161a822a1
12343b6648
131bc45650
1411dcaa6c
15a88b845
hex72d8b18

120425240 has 64 divisors (see below), whose sum is σ = 304516800. Its totient is φ = 42527232.

The previous prime is 120425219. The next prime is 120425243. The reversal of 120425240 is 42524021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120425243) 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, 6926 + ... + 16994.

It is an arithmetic number, because the mean of its divisors is an integer number (4758075).

Almost surely, 2120425240 is an apocalyptic number.

120425240 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 120425240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152258400).

120425240 is an abundant number, since it is smaller than the sum of its proper divisors (184091560).

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

120425240 is a wasteful number, since it uses less digits than its factorization.

120425240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10116 (or 10112 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 120425240 is about 10973.8434470335. The cubic root of 120425240 is about 493.8243569050.

Adding to 120425240 its reverse (42524021), we get a palindrome (162949261).

The spelling of 120425240 in words is "one hundred twenty million, four hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 2392 2990 5980 10069 11960 20138 40276 50345 80552 100690 130897 201380 231587 261794 402760 463174 523588 654485 926348 1047176 1157935 1308970 1852696 2315870 2617940 3010631 4631740 5235880 6021262 9263480 12042524 15053155 24085048 30106310 60212620 120425240