Search a number
-
+
1266844920 = 2335117313147
BaseRepresentation
bin100101110000010…
…1000010011111000
310021021210101112020
41023200220103320
510043303014140
6325412514440
743252001265
oct11340502370
93237711466
101266844920
115a0112380
122b431ba20
131725c9ba3
14c037026c
15763416d0
hex4b8284f8

1266844920 has 128 divisors (see below), whose sum is σ = 4203152640. Its totient is φ = 302883840.

The previous prime is 1266844907. The next prime is 1266844927. The reversal of 1266844920 is 294486621.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1266844927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89787 + ... + 102933.

It is an arithmetic number, because the mean of its divisors is an integer number (32837130).

Almost surely, 21266844920 is an apocalyptic number.

1266844920 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 1266844920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101576320).

1266844920 is an abundant number, since it is smaller than the sum of its proper divisors (2936307720).

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

1266844920 is a wasteful number, since it uses less digits than its factorization.

1266844920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13245 (or 13241 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 1266844920 is about 35592.7649951503. The cubic root of 1266844920 is about 1082.0346076765.

The spelling of 1266844920 in words is "one billion, two hundred sixty-six million, eight hundred forty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 73 88 110 120 132 146 165 219 220 264 292 330 365 438 440 584 660 730 803 876 1095 1320 1460 1606 1752 2190 2409 2920 3212 4015 4380 4818 6424 8030 8760 9636 12045 13147 16060 19272 24090 26294 32120 39441 48180 52588 65735 78882 96360 105176 131470 144617 157764 197205 262940 289234 315528 394410 433851 525880 578468 723085 788820 867702 959731 1156936 1446170 1577640 1735404 1919462 2169255 2879193 2892340 3470808 3838924 4338510 4798655 5758386 5784680 7677848 8677020 9597310 10557041 11516772 14395965 17354040 19194620 21114082 23033544 28791930 31671123 38389240 42228164 52785205 57583860 63342246 84456328 105570410 115167720 126684492 158355615 211140820 253368984 316711230 422281640 633422460 1266844920