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1455403140 = 223453724281
BaseRepresentation
bin101011010111111…
…1011000010000100
310202102121010210000
41112233323002010
510440040400030
6400230201300
751031502562
oct12657730204
93672533700
101455403140
1168759aa14
123474b3230
131a26a92b9
14db414a32
1587b8a860
hex56bfb084

1455403140 has 120 divisors (see below), whose sum is σ = 4689242712. Its totient is φ = 377602560.

The previous prime is 1455403139. The next prime is 1455403141. The reversal of 1455403140 is 413045541.

It is a happy number.

1455403140 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1455403139) and next prime (1455403141).

It can be written as a sum of positive squares in 4 ways, for example, as 805764996 + 649638144 = 28386^2 + 25488^2 .

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 (1455403141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47800 + ... + 72080.

Almost surely, 21455403140 is an apocalyptic number.

1455403140 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 1455403140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344621356).

1455403140 is an abundant number, since it is smaller than the sum of its proper divisors (3233839572).

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

1455403140 is a wasteful number, since it uses less digits than its factorization.

1455403140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24339 (or 24328 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1455403140 is about 38149.7462639006. The cubic root of 1455403140 is about 1133.2553270032.

Adding to 1455403140 its reverse (413045541), we get a palindrome (1868448681).

The spelling of 1455403140 in words is "one billion, four hundred fifty-five million, four hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 270 324 333 370 405 444 540 555 666 740 810 999 1110 1332 1620 1665 1998 2220 2997 3330 3996 4995 5994 6660 9990 11988 14985 19980 24281 29970 48562 59940 72843 97124 121405 145686 218529 242810 291372 364215 437058 485620 655587 728430 874116 898397 1092645 1311174 1456860 1796794 1966761 2185290 2622348 2695191 3277935 3593588 3933522 4370580 4491985 5390382 6555870 7867044 8085573 8983970 9833805 10780764 13111740 13475955 16171146 17967940 19667610 24256719 26951910 32342292 39335220 40427865 48513438 53903820 72770157 80855730 97026876 121283595 145540314 161711460 242567190 291080628 363850785 485134380 727701570 1455403140