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1890367668 = 223273295279
BaseRepresentation
bin111000010101100…
…1011100010110100
311212202001121221100
41300223023202310
512332413231133
6511325050100
764562601000
oct16053134264
94782047840
101890367668
11890077232
124490b6930
13241840467
1413d0bb700
15b0e58e13
hex70acb8b4

1890367668 has 144 divisors (see below), whose sum is σ = 5765760000. Its totient is φ = 521381952.

The previous prime is 1890367667. The next prime is 1890367669. The reversal of 1890367668 is 8667630981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1890367667) and next prime (1890367669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1890367667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355453 + ... + 360731.

It is an arithmetic number, because the mean of its divisors is an integer number (40040000).

Almost surely, 21890367668 is an apocalyptic number.

1890367668 is a gapful number since it is divisible by the number (18) 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 1890367668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882880000).

1890367668 is an abundant number, since it is smaller than the sum of its proper divisors (3875392332).

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

1890367668 is a wasteful number, since it uses less digits than its factorization.

1890367668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5339 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1890367668 is about 43478.3586166727. The cubic root of 1890367668 is about 1236.4657574811.

The spelling of 1890367668 in words is "one billion, eight hundred ninety million, three hundred sixty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 343 348 406 441 522 588 609 686 812 882 1029 1044 1218 1372 1421 1764 1827 2058 2436 2842 3087 3654 4116 4263 5279 5684 6174 7308 8526 9947 10558 12348 12789 15837 17052 19894 21116 25578 29841 31674 36953 39788 47511 51156 59682 63348 73906 89523 95022 110859 119364 147812 153091 179046 190044 221718 258671 306182 332577 358092 443436 459273 517342 612364 665154 776013 918546 1034684 1071637 1330308 1377819 1552026 1810697 1837092 2143274 2328039 2755638 3104052 3214911 3621394 4286548 4656078 5432091 5511276 6429822 7242788 7501459 9312156 9644733 10864182 12859644 15002918 16296273 19289466 21728364 22504377 30005836 32592546 38578932 45008754 52510213 65185092 67513131 90017508 105020426 135026262 157530639 210040852 270052524 315061278 472591917 630122556 945183834 1890367668