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1268745700 = 2252175231427
BaseRepresentation
bin100101110011111…
…1000010111100100
310021102100221220111
41023213320113210
510044244330300
6325521342404
743304106025
oct11347702744
93242327814
101268745700
115a11a0472
122b4a97a04
13172b14101
14c0706c4c
15765b99ba
hex4b9f85e4

1268745700 has 72 divisors (see below), whose sum is σ = 2922750432. Its totient is φ = 476398080.

The previous prime is 1268745689. The next prime is 1268745703. The reversal of 1268745700 is 75478621.

It is not an unprimeable number, because it can be changed into a prime (1268745703) 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 23 ways as a sum of consecutive naturals, for example, 888387 + ... + 889813.

It is an arithmetic number, because the mean of its divisors is an integer number (40593756).

Almost surely, 21268745700 is an apocalyptic number.

1268745700 is a gapful number since it is divisible by the number (10) 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 1268745700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461375216).

1268745700 is an abundant number, since it is smaller than the sum of its proper divisors (1654004732).

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

1268745700 is a wasteful number, since it uses less digits than its factorization.

1268745700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 1268745700 is about 35619.4567617194. The cubic root of 1268745700 is about 1082.5755004970.

The spelling of 1268745700 in words is "one billion, two hundred sixty-eight million, seven hundred forty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 523 850 1046 1427 1700 2092 2615 2854 5230 5708 7135 8891 10460 13075 14270 17782 24259 26150 28540 35564 35675 44455 48518 52300 71350 88910 97036 121295 142700 177820 222275 242590 444550 485180 606475 746321 889100 1212950 1492642 2425900 2985284 3731605 7463210 12687457 14926420 18658025 25374914 37316050 50749828 63437285 74632100 126874570 253749140 317186425 634372850 1268745700