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1455111040 = 27510122511
BaseRepresentation
bin101011010111011…
…0011101110000000
310202102001022002111
41112232303232000
510440002023130
6400220025104
751026145145
oct12656635600
93672038074
101455111040
11687410509
12347392194
131a2606366
14db37a3cc
1587b2e02a
hex56bb3b80

1455111040 has 64 divisors (see below), whose sum is σ = 3513222720. Its totient is φ = 576256000.

The previous prime is 1455111037. The next prime is 1455111043. The reversal of 1455111040 is 401115541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1455111037) and next prime (1455111043).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1455111043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53385 + ... + 75895.

It is an arithmetic number, because the mean of its divisors is an integer number (54894105).

Almost surely, 21455111040 is an apocalyptic number.

1455111040 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 1455111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756611360).

1455111040 is an abundant number, since it is smaller than the sum of its proper divisors (2058111680).

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

1455111040 is a wasteful number, since it uses less digits than its factorization.

1455111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22631 (or 22619 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 1455111040 is about 38145.9177370266. The cubic root of 1455111040 is about 1133.1795069961.

Adding to 1455111040 its reverse (401115541), we get a palindrome (1856226581).

The spelling of 1455111040 in words is "one billion, four hundred fifty-five million, one hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 320 404 505 640 808 1010 1616 2020 3232 4040 6464 8080 12928 16160 22511 32320 45022 64640 90044 112555 180088 225110 360176 450220 720352 900440 1440704 1800880 2273611 2881408 3601760 4547222 7203520 9094444 11368055 14407040 18188888 22736110 36377776 45472220 72755552 90944440 145511104 181888880 291022208 363777760 727555520 1455111040