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2067753740 = 2251329327143
BaseRepresentation
bin111101100111111…
…0110101100001100
312100002211202212212
41323033312230030
513213321104430
6541103045552
7102145421363
oct17317665414
95302752785
102067753740
11971213a98
124985a08b8
1326c50a630
141588947da
15c17e7b95
hex7b3f6b0c

2067753740 has 48 divisors (see below), whose sum is σ = 4692437568. Its totient is φ = 760844544.

The previous prime is 2067753733. The next prime is 2067753811. The reversal of 2067753740 is 473577602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62609 + ... + 89751.

It is an arithmetic number, because the mean of its divisors is an integer number (97759116).

Almost surely, 22067753740 is an apocalyptic number.

2067753740 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 2067753740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346218784).

2067753740 is an abundant number, since it is smaller than the sum of its proper divisors (2624683828).

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

2067753740 is a wasteful number, since it uses less digits than its factorization.

2067753740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27458 (or 27456 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 41.

The square root of 2067753740 is about 45472.5602973925. The cubic root of 2067753740 is about 1273.9907409701.

The spelling of 2067753740 in words is "two billion, sixty-seven million, seven hundred fifty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 293 586 1172 1465 2930 3809 5860 7618 15236 19045 27143 38090 54286 76180 108572 135715 271430 352859 542860 705718 1411436 1764295 3528590 7057180 7952899 15905798 31811596 39764495 79528990 103387687 159057980 206775374 413550748 516938435 1033876870 2067753740