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1450000240 = 245131797789
BaseRepresentation
bin101011001101101…
…0011111101110000
310202001102122101121
41112123103331300
510432200001430
6355514312024
750634540643
oct12633237560
93661378347
101450000240
1168453a707
12345728614
131a1537010
14da809a5a
158746ea7a
hex566d3f70

1450000240 has 80 divisors (see below), whose sum is σ = 3651328800. Its totient is φ = 532325376.

The previous prime is 1450000217. The next prime is 1450000249. The reversal of 1450000240 is 420000541.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450000249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182266 + ... + 190054.

It is an arithmetic number, because the mean of its divisors is an integer number (45641610).

Almost surely, 21450000240 is an apocalyptic number.

1450000240 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 1450000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825664400).

1450000240 is an abundant number, since it is smaller than the sum of its proper divisors (2201328560).

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

1450000240 is a wasteful number, since it uses less digits than its factorization.

1450000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7994 (or 7988 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 1450000240 is about 38078.8686806738. The cubic root of 1450000240 is about 1131.8512584099.

Adding to 1450000240 its reverse (420000541), we get a palindrome (1870000781).

The spelling of 1450000240 in words is "one billion, four hundred fifty million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 179 208 260 358 520 716 895 1040 1432 1790 2327 2864 3580 4654 7160 7789 9308 11635 14320 15578 18616 23270 31156 37232 38945 46540 62312 77890 93080 101257 124624 155780 186160 202514 311560 405028 506285 623120 810056 1012570 1394231 1620112 2025140 2788462 4050280 5576924 6971155 8100560 11153848 13942310 18125003 22307696 27884620 36250006 55769240 72500012 90625015 111538480 145000024 181250030 290000048 362500060 725000120 1450000240