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2054103540 = 2235173735399
BaseRepresentation
bin111101001101111…
…0010000111110100
312022011011021022220
41322123302013310
513201322303130
6535454322340
7101621410026
oct17233620764
95264137286
102054103540
11964540435
12493ab93b0
1326973b4a8
14156b40016
15c04ed410
hex7a6f21f4

2054103540 has 96 divisors (see below), whose sum is σ = 6107270400. Its totient is φ = 514062336.

The previous prime is 2054103529. The next prime is 2054103551. The reversal of 2054103540 is 453014502.

It is an interprime number because it is at equal distance from previous prime (2054103529) and next prime (2054103551).

It is a self number, because there is not a number n which added to its sum of digits gives 2054103540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377761 + ... + 383159.

It is an arithmetic number, because the mean of its divisors is an integer number (63617400).

Almost surely, 22054103540 is an apocalyptic number.

2054103540 is a gapful number since it is divisible by the number (20) 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 2054103540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053635200).

2054103540 is an abundant number, since it is smaller than the sum of its proper divisors (4053166860).

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

2054103540 is a wasteful number, since it uses less digits than its factorization.

2054103540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5801 (or 5799 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2054103540 is about 45322.2190542343. The cubic root of 2054103540 is about 1271.1811484442.

The spelling of 2054103540 in words is "two billion, fifty-four million, one hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 373 510 746 1020 1119 1492 1865 2238 3730 4476 5399 5595 6341 7460 10798 11190 12682 16197 19023 21596 22380 25364 26995 31705 32394 38046 53990 63410 64788 76092 80985 91783 95115 107980 126820 161970 183566 190230 275349 323940 367132 380460 458915 550698 917830 1101396 1376745 1835660 2013827 2753490 4027654 5506980 6041481 8055308 10069135 12082962 20138270 24165924 30207405 34235059 40276540 60414810 68470118 102705177 120829620 136940236 171175295 205410354 342350590 410820708 513525885 684701180 1027051770 2054103540