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1350245440 = 26537114041
BaseRepresentation
bin101000001111011…
…0001110001000000
310111002201120112101
41100132301301000
510231130323230
6341552240144
745313616425
oct12036616100
93432646471
101350245440
116331a6425
12318240054
1318697accb
14cb47dd4c
157d817aca
hex507b1c40

1350245440 has 56 divisors (see below), whose sum is σ = 3302200152. Its totient is φ = 525496320.

The previous prime is 1350245389. The next prime is 1350245441. The reversal of 1350245440 is 445420531.

It can be written as a sum of positive squares in 4 ways, for example, as 135862336 + 1214383104 = 11656^2 + 34848^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1350245399 and 1350245408.

It is not an unprimeable number, because it can be changed into a prime (1350245441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45181 + ... + 68860.

Almost surely, 21350245440 is an apocalyptic number.

1350245440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1350245440 is an abundant number, since it is smaller than the sum of its proper divisors (1951954712).

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

1350245440 is a wasteful number, since it uses less digits than its factorization.

1350245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114095 (or 114085 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 1350245440 is about 36745.6860052986. The cubic root of 1350245440 is about 1105.2764239550.

Adding to 1350245440 its reverse (445420531), we get a palindrome (1795665971).

The spelling of 1350245440 in words is "one billion, three hundred fifty million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 2368 2960 5920 11840 114041 228082 456164 570205 912328 1140410 1824656 2280820 3649312 4219517 4561640 7298624 8439034 9123280 16878068 18246560 21097585 33756136 36493120 42195170 67512272 84390340 135024544 168780680 270049088 337561360 675122720 1350245440