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1354141840 = 24530675519
BaseRepresentation
bin101000010110110…
…1001000010010000
310111101001112101111
41100231221002100
510233130014330
6342211543104
745362005252
oct12055510220
93441045344
101354141840
11635417897
123195baa94
1318771367c
14cbbb5cd2
157dd3732a
hex50b69090

1354141840 has 40 divisors (see below), whose sum is σ = 3149976960. Its totient is φ = 541382016.

The previous prime is 1354141829. The next prime is 1354141871. The reversal of 1354141840 is 481414531.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242601 + ... + 248119.

It is an arithmetic number, because the mean of its divisors is an integer number (78749424).

Almost surely, 21354141840 is an apocalyptic number.

1354141840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1354141840 is an abundant number, since it is smaller than the sum of its proper divisors (1795835120).

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

1354141840 is a wasteful number, since it uses less digits than its factorization.

1354141840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8599 (or 8593 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 1354141840 is about 36798.6662801792. Note that the first 3 decimals coincide. The cubic root of 1354141840 is about 1106.3385674353.

The spelling of 1354141840 in words is "one billion, three hundred fifty-four million, one hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3067 5519 6134 11038 12268 15335 22076 24536 27595 30670 44152 49072 55190 61340 88304 110380 122680 220760 245360 441520 16926773 33853546 67707092 84633865 135414184 169267730 270828368 338535460 677070920 1354141840