Search a number
-
+
2054190960 = 243255353831
BaseRepresentation
bin111101001110000…
…0111011101110000
312022011022201020200
41322130013131300
513201333102320
6535500235200
7101622222633
oct17234073560
95264281220
102054190960
119645a0088
12493b3bb00
1326976c213
14156b63c1a
15c0519290
hex7a707770

2054190960 has 120 divisors (see below), whose sum is σ = 7028951904. Its totient is φ = 537438720.

The previous prime is 2054190917. The next prime is 2054190967. The reversal of 2054190960 is 690914502.

2054190960 is a `hidden beast` number, since 20 + 541 + 9 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054190967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11245 + ... + 65075.

Almost surely, 22054190960 is an apocalyptic number.

2054190960 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 2054190960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514475952).

2054190960 is an abundant number, since it is smaller than the sum of its proper divisors (4974760944).

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

2054190960 is a wasteful number, since it uses less digits than its factorization.

2054190960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53903 (or 53894 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2054190960 is about 45323.1834715965. The cubic root of 2054190960 is about 1271.1991814656.

The spelling of 2054190960 in words is "two billion, fifty-four million, one hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 53 60 72 80 90 106 120 144 159 180 212 240 265 318 360 424 477 530 636 720 795 848 954 1060 1272 1590 1908 2120 2385 2544 3180 3816 4240 4770 6360 7632 9540 12720 19080 38160 53831 107662 161493 215324 269155 322986 430648 484479 538310 645972 807465 861296 968958 1076620 1291944 1614930 1937916 2153240 2422395 2583888 2853043 3229860 3875832 4306480 4844790 5706086 6459720 7751664 8559129 9689580 11412172 12919440 14265215 17118258 19379160 22824344 25677387 28530430 34236516 38758320 42795645 45648688 51354774 57060860 68473032 85591290 102709548 114121720 128386935 136946064 171182580 205419096 228243440 256773870 342365160 410838192 513547740 684730320 1027095480 2054190960