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1454111360 = 27513174773
BaseRepresentation
bin101011010101011…
…1111101010000000
310202100011111210022
41112222333222000
510434223030420
6400142353012
751014512502
oct12652775200
93670144708
101454111360
11686898429
12346b8b768
131a2346330
14db199d72
15879d2c25
hex56abfa80

1454111360 has 64 divisors (see below), whose sum is σ = 3743659080. Its totient is φ = 536899584.

The previous prime is 1454111341. The next prime is 1454111381. The reversal of 1454111360 is 631114541.

It can be written as a sum of positive squares in 4 ways, for example, as 1340731456 + 113379904 = 36616^2 + 10648^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×14541113602 = 4228879694562099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79067 + ... + 95706.

Almost surely, 21454111360 is an apocalyptic number.

1454111360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1454111360 is an abundant number, since it is smaller than the sum of its proper divisors (2289547720).

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

1454111360 is a wasteful number, since it uses less digits than its factorization.

1454111360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174805 (or 174793 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 1454111360 is about 38132.8121176501. The cubic root of 1454111360 is about 1132.9199445808.

The spelling of 1454111360 in words is "one billion, four hundred fifty-four million, one hundred eleven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 174773 349546 699092 873865 1398184 1747730 2272049 2796368 3495460 4544098 5592736 6990920 9088196 11185472 11360245 13981840 18176392 22370944 22720490 27963680 36352784 45440980 55927360 72705568 90881960 111854720 145411136 181763920 290822272 363527840 727055680 1454111360