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1893095136 = 253212135419
BaseRepresentation
bin111000011010110…
…0101011011100000
311212221012012022200
41300311211123200
512334113021021
6511503333200
764625020542
oct16065453340
94787165280
101893095136
1189166a439
12449bb1200
13242286a4a
1413d5cb692
15b12e7126
hex70d656e0

1893095136 has 72 divisors (see below), whose sum is σ = 5388921720. Its totient is φ = 630395136.

The previous prime is 1893095111. The next prime is 1893095137. The reversal of 1893095136 is 6315903981.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1893095091 and 1893095100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1893095137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346635 + ... + 352053.

It is an arithmetic number, because the mean of its divisors is an integer number (74846135).

Almost surely, 21893095136 is an apocalyptic number.

1893095136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1893095136 is an abundant number, since it is smaller than the sum of its proper divisors (3495826584).

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

1893095136 is a wasteful number, since it uses less digits than its factorization.

1893095136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6648 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1893095136 is about 43509.7131224742. The cubic root of 1893095136 is about 1237.0601392348.

The spelling of 1893095136 in words is "one billion, eight hundred ninety-three million, ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1213 2426 3639 4852 5419 7278 9704 10838 10917 14556 16257 19408 21676 21834 29112 32514 38816 43352 43668 48771 58224 65028 86704 87336 97542 116448 130056 173408 174672 195084 260112 349344 390168 520224 780336 1560672 6573247 13146494 19719741 26292988 39439482 52585976 59159223 78878964 105171952 118318446 157757928 210343904 236636892 315515856 473273784 631031712 946547568 1893095136