Search a number
-
+
1268375100 = 2235217248701
BaseRepresentation
bin100101110011001…
…1101111000111100
310021101200010112120
41023212131320330
510044201000400
6325505402540
743301003406
oct11346357074
93241603476
101268375100
115a0a67a93
122b4939450
13172a14515
14c064bb76
1576544ca0
hex4b99de3c

1268375100 has 72 divisors (see below), whose sum is σ = 3885720048. Its totient is φ = 318336000.

The previous prime is 1268375029. The next prime is 1268375107. The reversal of 1268375100 is 15738621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268375107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119251 + ... + 129450.

It is an arithmetic number, because the mean of its divisors is an integer number (53968334).

Almost surely, 21268375100 is an apocalyptic number.

1268375100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1268375100 is an abundant number, since it is smaller than the sum of its proper divisors (2617344948).

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

1268375100 is a wasteful number, since it uses less digits than its factorization.

1268375100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248735 (or 248728 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1268375100 is about 35614.2541688016. The cubic root of 1268375100 is about 1082.4700836404.

The spelling of 1268375100 in words is "one billion, two hundred sixty-eight million, three hundred seventy-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 248701 497402 746103 994804 1243505 1492206 2487010 2984412 3730515 4227917 4974020 6217525 7461030 8455834 12435050 12683751 14922060 16911668 18652575 21139585 24870100 25367502 37305150 42279170 50735004 63418755 74610300 84558340 105697925 126837510 211395850 253675020 317093775 422791700 634187550 1268375100