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2067000096 = 25379193347
BaseRepresentation
bin111101100110011…
…1110101100100000
312100001102111002010
41323030332230200
513213123000341
6541034552520
7102136132230
oct17314765440
95301374063
102067000096
11970849847
12498298740
1326c3055a5
14158739cc0
15c16e9716
hex7b33eb20

2067000096 has 96 divisors (see below), whose sum is σ = 6209602560. Its totient is φ = 589752576.

The previous prime is 2067000073. The next prime is 2067000109. The reversal of 2067000096 is 6900007602.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 615895 + ... + 619241.

It is an arithmetic number, because the mean of its divisors is an integer number (64683360).

Almost surely, 22067000096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2067000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104801280).

2067000096 is an abundant number, since it is smaller than the sum of its proper divisors (4142602464).

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

2067000096 is a wasteful number, since it uses less digits than its factorization.

2067000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 2067000096 is about 45464.2727424513. The cubic root of 2067000096 is about 1273.8359430153.

Adding to 2067000096 its reverse (6900007602), we get a palindrome (8967007698).

The spelling of 2067000096 in words is "two billion, sixty-seven million, ninety-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 919 1838 2757 3347 3676 5514 6433 6694 7352 10041 11028 12866 13388 14704 19299 20082 22056 23429 25732 26776 29408 38598 40164 44112 46858 51464 53552 70287 77196 80328 88224 93716 102928 107104 140574 154392 160656 187432 205856 281148 308784 321312 374864 562296 617568 749728 1124592 2249184 3075893 6151786 9227679 12303572 18455358 21531251 24607144 36910716 43062502 49214288 64593753 73821432 86125004 98428576 129187506 147642864 172250008 258375012 295285728 344500016 516750024 689000032 1033500048 2067000096