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120430240 = 2557215361
BaseRepresentation
bin1110010110110…
…01111010100000
322101121111020021
413023121322200
5221312231430
615541123224
72661432400
oct713317240
9271544207
10120430240
1161a86027
12343b9514
131bc479c8
1411dcc800
15a88d07a
hex72d9ea0

120430240 has 72 divisors (see below), whose sum is σ = 330989652. Its totient is φ = 41287680.

The previous prime is 120430169. The next prime is 120430241. The reversal of 120430240 is 42034021.

It can be written as a sum of positive squares in 2 ways, for example, as 119858704 + 571536 = 10948^2 + 756^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (120430241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160 + ... + 15520.

Almost surely, 2120430240 is an apocalyptic number.

120430240 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 120430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165494826).

120430240 is an abundant number, since it is smaller than the sum of its proper divisors (210559412).

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

120430240 is a wasteful number, since it uses less digits than its factorization.

120430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15390 (or 15375 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 120430240 is about 10974.0712591089. The cubic root of 120430240 is about 493.8311912630.

Adding to 120430240 its reverse (42034021), we get a palindrome (162464261).

The spelling of 120430240 in words is "one hundred twenty million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 15361 30722 61444 76805 107527 122888 153610 215054 245776 307220 430108 491552 537635 614440 752689 860216 1075270 1228880 1505378 1720432 2150540 2457760 3010756 3440864 3763445 4301080 6021512 7526890 8602160 12043024 15053780 17204320 24086048 30107560 60215120 120430240