Search a number
-
+
1450140705 = 3351319157277
BaseRepresentation
bin101011001101111…
…0110010000100001
310202001200210002000
41112123312100201
510432214000310
6355521314213
750635664316
oct12633662041
93661623060
101450140705
116846261a2
12345795969
131a1585c30
14da844d0d
158749b4c0
hex566f6421

1450140705 has 128 divisors (see below), whose sum is σ = 2951692800. Its totient is φ = 669606912.

The previous prime is 1450140701. The next prime is 1450140793. The reversal of 1450140705 is 5070410541.

It is a happy number.

1450140705 is a `hidden beast` number, since 1 + 450 + 140 + 70 + 5 = 666.

It is not a de Polignac number, because 1450140705 - 22 = 1450140701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1450140701) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5235027 + ... + 5235303.

It is an arithmetic number, because the mean of its divisors is an integer number (23060100).

Almost surely, 21450140705 is an apocalyptic number.

1450140705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1450140705 is an abundant number, since it is smaller than the sum of its proper divisors (1501552095).

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

1450140705 is a wasteful number, since it uses less digits than its factorization.

1450140705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 1450140705 is about 38080.7130316647. The cubic root of 1450140705 is about 1131.8878056116.

The spelling of 1450140705 in words is "one billion, four hundred fifty million, one hundred forty thousand, seven hundred five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 95 117 135 157 171 195 247 277 285 351 471 513 585 741 785 831 855 1235 1385 1413 1755 2041 2223 2355 2493 2565 2983 3601 3705 4155 4239 5263 6123 6669 7065 7479 8949 10205 10803 11115 12465 14915 15789 18005 18369 21195 26315 26847 30615 32409 33345 37395 38779 43489 44745 47367 54015 55107 68419 78945 80541 91845 97227 116337 130467 134235 142101 162045 193895 205257 217445 236835 275535 342095 349011 391401 402705 486135 565357 581685 615771 652335 710505 826291 1026285 1047033 1174203 1696071 1745055 1847313 1957005 2478873 2826785 3078855 4131455 5088213 5235165 5871015 7436619 8480355 9236565 10741783 12394365 15264639 22309857 25441065 32225349 37183095 53708915 76323195 96676047 111549285 161126745 290028141 483380235 1450140705