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1450040240 = 245114735059
BaseRepresentation
bin101011001101101…
…1101101110110000
310202001111200021002
41112123131232300
510432202241430
6355515221132
750635065365
oct12633355660
93661450232
101450040240
11684567770
123457477a8
131a154c29c
14da81a46c
158747b845
hex566ddbb0

1450040240 has 80 divisors (see below), whose sum is σ = 3756188160. Its totient is φ = 516053760.

The previous prime is 1450040237. The next prime is 1450040257. The reversal of 1450040240 is 420400541.

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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23831 + ... + 58889.

It is an arithmetic number, because the mean of its divisors is an integer number (46952352).

Almost surely, 21450040240 is an apocalyptic number.

1450040240 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 1450040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878094080).

1450040240 is an abundant number, since it is smaller than the sum of its proper divisors (2306147920).

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

1450040240 is a wasteful number, since it uses less digits than its factorization.

1450040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35130 (or 35124 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1450040240 is about 38079.3939027396. The cubic root of 1450040240 is about 1131.8616661401.

Adding to 1450040240 its reverse (420400541), we get a palindrome (1870440781).

The spelling of 1450040240 in words is "one billion, four hundred fifty million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 440 470 517 752 880 940 1034 1880 2068 2585 3760 4136 5170 8272 10340 20680 35059 41360 70118 140236 175295 280472 350590 385649 560944 701180 771298 1402360 1542596 1647773 1928245 2804720 3085192 3295546 3856490 6170384 6591092 7712980 8238865 13182184 15425960 16477730 18125503 26364368 30851920 32955460 36251006 65910920 72502012 90627515 131821840 145004024 181255030 290008048 362510060 725020120 1450040240