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1920016540 = 2251323321073
BaseRepresentation
bin111001001110001…
…0010000010011100
311221210211221112201
41302130102002130
512413011012130
6514304341244
765402604601
oct16234220234
94853757481
101920016540
118a5887932
12457014824
13247a21680
14142dd86a8
15b3863bca
hex7271209c

1920016540 has 48 divisors (see below), whose sum is σ = 4530996288. Its totient is φ = 678104064.

The previous prime is 1920016529. The next prime is 1920016559. The reversal of 1920016540 is 456100291.

It is a junction number, because it is equal to n+sod(n) for n = 1920016499 and 1920016508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154557 + ... + 166516.

It is an arithmetic number, because the mean of its divisors is an integer number (94395756).

Almost surely, 21920016540 is an apocalyptic number.

1920016540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1920016540 is an abundant number, since it is smaller than the sum of its proper divisors (2610979748).

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

1920016540 is a wasteful number, since it uses less digits than its factorization.

1920016540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321118 (or 321116 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1920016540 is about 43817.9933360714. The cubic root of 1920016540 is about 1242.8965713731.

The spelling of 1920016540 in words is "one billion, nine hundred twenty million, sixteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 5980 321073 642146 1284292 1605365 3210730 4173949 6421460 7384679 8347898 14769358 16695796 20869745 29538716 36923395 41739490 73846790 83478980 96000827 147693580 192001654 384003308 480004135 960008270 1920016540