Search a number
-
+
1451371005 = 3257172107149
BaseRepresentation
bin101011010000010…
…0010100111111101
310202011000021201200
41112200202213331
510433022333010
6400003530113
750652310230
oct12640424775
93664007650
101451371005
11685296577
12346089939
131a18c6c16
14daa85417
1587640cc0
hex568229fd

1451371005 has 144 divisors (see below), whose sum is σ = 3103401600. Its totient is φ = 614467584.

The previous prime is 1451371003. The next prime is 1451371037. The reversal of 1451371005 is 5001731541.

It is not a de Polignac number, because 1451371005 - 21 = 1451371003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1451371005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1451371003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9740671 + ... + 9740819.

It is an arithmetic number, because the mean of its divisors is an integer number (21551400).

Almost surely, 21451371005 is an apocalyptic number.

1451371005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1451371005 is an abundant number, since it is smaller than the sum of its proper divisors (1652030595).

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

1451371005 is a wasteful number, since it uses less digits than its factorization.

1451371005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1451371005 is about 38096.8634535706. The cubic root of 1451371005 is about 1132.2078131647.

The spelling of 1451371005 in words is "one billion, four hundred fifty-one million, three hundred seventy-one thousand, five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 107 119 149 153 255 289 315 321 357 447 535 595 745 749 765 867 963 1043 1071 1341 1445 1605 1785 1819 2023 2235 2247 2533 2601 3129 3745 4335 4815 5215 5355 5457 6069 6705 6741 7599 9095 9387 10115 11235 12665 12733 13005 15645 15943 16371 17731 18207 22797 27285 30345 30923 33705 37995 38199 43061 46935 47829 53193 63665 79715 81855 88655 91035 92769 111601 113985 114597 129183 143487 154615 159579 190995 215305 216461 239145 265965 271031 278307 301427 334803 387549 463845 558005 572985 645915 649383 717435 797895 813093 904281 1004409 1082305 1355155 1391535 1507135 1674015 1897217 1937745 1948149 2439279 2712843 3246915 4065465 4521405 4607527 5022045 5691651 9486085 9740745 12196395 13564215 13822581 17074953 23037635 28458255 32252689 41467743 69112905 85374765 96758067 161263445 207338715 290274201 483790335 1451371005