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2054037120 = 27351069811
BaseRepresentation
bin111101001101110…
…0001111010000000
312022011000220012220
41322123201322000
513201313141440
6535453051040
7101621012262
oct17233417200
95264026186
102054037120
119644a5543
12493a86a80
132697171a5
14156b23b32
15c04d88d0
hex7a6e1e80

2054037120 has 64 divisors (see below), whose sum is σ = 6547249440. Its totient is φ = 547742720.

The previous prime is 2054037119. The next prime is 2054037133. The reversal of 2054037120 is 217304502.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 532986 + ... + 536825.

Almost surely, 22054037120 is an apocalyptic number.

2054037120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2054037120 is an abundant number, since it is smaller than the sum of its proper divisors (4493212320).

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

2054037120 is a wasteful number, since it uses less digits than its factorization.

2054037120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069833 (or 1069821 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2054037120 is about 45321.4862951338. The cubic root of 2054037120 is about 1271.1674469664.

The spelling of 2054037120 in words is "two billion, fifty-four million, thirty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 1069811 2139622 3209433 4279244 5349055 6418866 8558488 10698110 12837732 16047165 17116976 21396220 25675464 32094330 34233952 42792440 51350928 64188660 68467904 85584880 102701856 128377320 136935808 171169760 205403712 256754640 342339520 410807424 513509280 684679040 1027018560 2054037120