Search a number
-
+
1075212240 = 243530714593
BaseRepresentation
bin100000000010110…
…0110111111010000
32202221012102220120
41000011212333100
54200223242430
6254405310240
735434103364
oct10005467720
92687172816
101075212240
11501a24963
12260105380
131419b227b
14a2b292a4
15645db610
hex40166fd0

1075212240 has 80 divisors (see below), whose sum is σ = 3344244288. Its totient is φ = 285769728.

The previous prime is 1075212233. The next prime is 1075212251. The reversal of 1075212240 is 422125701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10752122402 = 2312162722091635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1075212240.

It is a congruent number.

It is an unprimeable number.

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, 66384 + ... + 80976.

Almost surely, 21075212240 is an apocalyptic number.

1075212240 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 1075212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672122144).

1075212240 is an abundant number, since it is smaller than the sum of its proper divisors (2269032048).

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

1075212240 is a wasteful number, since it uses less digits than its factorization.

1075212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14916 (or 14910 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 1075212240 is about 32790.4290914285. The cubic root of 1075212240 is about 1024.4672194477.

Adding to 1075212240 its reverse (422125701), we get a palindrome (1497337941).

The spelling of 1075212240 in words is "one billion, seventy-five million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 307 614 921 1228 1535 1842 2456 3070 3684 4605 4912 6140 7368 9210 12280 14593 14736 18420 24560 29186 36840 43779 58372 72965 73680 87558 116744 145930 175116 218895 233488 291860 350232 437790 583720 700464 875580 1167440 1751160 3502320 4480051 8960102 13440153 17920204 22400255 26880306 35840408 44800510 53760612 67200765 71680816 89601020 107521224 134401530 179202040 215042448 268803060 358404080 537606120 1075212240