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1375001568 = 25341274177
BaseRepresentation
bin101000111110100…
…1101101111100000
310112211022022120000
41101331031233200
510304000022233
6344235020000
746034214633
oct12175155740
93484268500
101375001568
11646175036
1232459a600
1318bb381c5
14d0885c1a
1580aa7d13
hex51f4dbe0

1375001568 has 120 divisors (see below), whose sum is σ = 4076658432. Its totient is φ = 454616064.

The previous prime is 1375001561. The next prime is 1375001603. The reversal of 1375001568 is 8651005731.

1375001568 is a `hidden beast` number, since 137 + 500 + 15 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375001561) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 327096 + ... + 331272.

Almost surely, 21375001568 is an apocalyptic number.

1375001568 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 1375001568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038329216).

1375001568 is an abundant number, since it is smaller than the sum of its proper divisors (2701656864).

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

1375001568 is a wasteful number, since it uses less digits than its factorization.

1375001568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1375001568 is about 37081.0135783800. The cubic root of 1375001568 is about 1111.9904679755.

The spelling of 1375001568 in words is "one billion, three hundred seventy-five million, one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 127 144 162 216 254 288 324 381 432 508 648 762 864 1016 1143 1296 1524 2032 2286 2592 3048 3429 4064 4177 4572 6096 6858 8354 9144 10287 12192 12531 13716 16708 18288 20574 25062 27432 33416 36576 37593 41148 50124 54864 66832 75186 82296 100248 109728 112779 133664 150372 164592 200496 225558 300744 329184 338337 400992 451116 530479 601488 676674 902232 1060958 1202976 1353348 1591437 1804464 2121916 2706696 3182874 3608928 4243832 4774311 5413392 6365748 8487664 9548622 10826784 12731496 14322933 16975328 19097244 25462992 28645866 38194488 42968799 50925984 57291732 76388976 85937598 114583464 152777952 171875196 229166928 343750392 458333856 687500784 1375001568