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2054184240 = 243519450479
BaseRepresentation
bin111101001110000…
…0101110100110000
312022011022101000210
41322130011310300
513201332343430
6535500144120
7101622164223
oct17234056460
95264271023
102054184240
11964596029
12493b38040
13269769144
14156b615ba
15c05172b0
hex7a705d30

2054184240 has 80 divisors (see below), whose sum is σ = 6703142400. Its totient is φ = 518950656.

The previous prime is 2054184193. The next prime is 2054184247. The reversal of 2054184240 is 424814502.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2054184198 and 2054184207.

It is not an unprimeable number, because it can be changed into a prime (2054184247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220680 + ... + 229799.

It is an arithmetic number, because the mean of its divisors is an integer number (83789280).

Almost surely, 22054184240 is an apocalyptic number.

2054184240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2054184240 is an abundant number, since it is smaller than the sum of its proper divisors (4648958160).

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

2054184240 is a wasteful number, since it uses less digits than its factorization.

2054184240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450514 (or 450508 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 2054184240 is about 45323.1093372906. The cubic root of 2054184240 is about 1271.1977952803.

Adding to 2054184240 its reverse (424814502), we get a palindrome (2478998742).

The spelling of 2054184240 in words is "two billion, fifty-four million, one hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 450479 900958 1351437 1801916 2252395 2702874 3603832 4504790 5405748 6757185 7207664 8559101 9009580 10811496 13514370 17118202 18019160 21622992 25677303 27028740 34236404 36038320 42795505 51354606 54057480 68472808 85591010 102709212 108114960 128386515 136945616 171182020 205418424 256773030 342364040 410836848 513546060 684728080 1027092120 2054184240