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1455230440 = 235291379157
BaseRepresentation
bin101011010111101…
…0000110111101000
310202102021100212201
41112233100313220
510440014333230
6400222345544
751030153226
oct12657206750
93672240781
101455230440
11687492194
1234742b2b4
131a2648801
14db3abb16
1587b545ca
hex56bd0de8

1455230440 has 64 divisors (see below), whose sum is σ = 3412270800. Its totient is φ = 557856768.

The previous prime is 1455230437. The next prime is 1455230443. The reversal of 1455230440 is 440325541.

It is an interprime number because it is at equal distance from previous prime (1455230437) and next prime (1455230443).

It can be written as a sum of positive squares in 8 ways, for example, as 415425924 + 1039804516 = 20382^2 + 32246^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1455230399 and 1455230408.

It is not an unprimeable number, because it can be changed into a prime (1455230443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154342 + ... + 163498.

Almost surely, 21455230440 is an apocalyptic number.

1455230440 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 1455230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706135400).

1455230440 is an abundant number, since it is smaller than the sum of its proper divisors (1957040360).

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

1455230440 is a wasteful number, since it uses less digits than its factorization.

1455230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9334 (or 9330 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 1455230440 is about 38147.4827478826. The cubic root of 1455230440 is about 1133.2105007207.

Adding to 1455230440 its reverse (440325541), we get a palindrome (1895555981).

The spelling of 1455230440 in words is "one billion, four hundred fifty-five million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 137 145 232 274 290 548 580 685 1096 1160 1370 2740 3973 5480 7946 9157 15892 18314 19865 31784 36628 39730 45785 73256 79460 91570 158920 183140 265553 366280 531106 1062212 1254509 1327765 2124424 2509018 2655530 5018036 5311060 6272545 10036072 10622120 12545090 25090180 36380761 50180360 72761522 145523044 181903805 291046088 363807610 727615220 1455230440