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1240313220 = 2232531721737
BaseRepresentation
bin100100111101101…
…1010110110000100
310012102212102212200
41021323122312010
510020010010340
6323024114500
742510326346
oct11173326604
93172772780
101240313220
11587140753
122a7465a30
13169c6a763
14baa25296
1573d50330
hex49edad84

1240313220 has 72 divisors (see below), whose sum is σ = 3774325464. Its totient is φ = 329691648.

The previous prime is 1240313219. The next prime is 1240313273. The reversal of 1240313220 is 223130421.

It can be written as a sum of positive squares in 4 ways, for example, as 61214976 + 1179098244 = 7824^2 + 34338^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1240313193 and 1240313202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46192 + ... + 67928.

It is an arithmetic number, because the mean of its divisors is an integer number (52421187).

Almost surely, 21240313220 is an apocalyptic number.

1240313220 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 1240313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887162732).

1240313220 is an abundant number, since it is smaller than the sum of its proper divisors (2534012244).

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

1240313220 is a wasteful number, since it uses less digits than its factorization.

1240313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22069 (or 22064 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1240313220 is about 35218.0808676452. The cubic root of 1240313220 is about 1074.4275213997.

Adding to 1240313220 its reverse (223130421), we get a palindrome (1463443641).

The spelling of 1240313220 in words is "one billion, two hundred forty million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 317 634 951 1268 1585 1902 2853 3170 3804 4755 5706 6340 9510 11412 14265 19020 21737 28530 43474 57060 65211 86948 108685 130422 195633 217370 260844 326055 391266 434740 652110 782532 978165 1304220 1956330 3912660 6890629 13781258 20671887 27562516 34453145 41343774 62015661 68906290 82687548 103359435 124031322 137812580 206718870 248062644 310078305 413437740 620156610 1240313220