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1266136340 = 225728331957
BaseRepresentation
bin100101101110111…
…1011010100010100
310021020110101112112
41023131323110110
510043112330330
6325345410152
743242660410
oct11335732424
93236411475
101266136340
1159a778a77
122b4039958
1317240c501
14c0227d40
1576251795
hex4b77b514

1266136340 has 48 divisors (see below), whose sum is σ = 3049560192. Its totient is φ = 432556416.

The previous prime is 1266136331. The next prime is 1266136351. The reversal of 1266136340 is 436316621.

It is a junction number, because it is equal to n+sod(n) for n = 1266136297 and 1266136306.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23642 + ... + 55598.

It is an arithmetic number, because the mean of its divisors is an integer number (63532504).

Almost surely, 21266136340 is an apocalyptic number.

1266136340 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 1266136340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524780096).

1266136340 is an abundant number, since it is smaller than the sum of its proper divisors (1783423852).

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

1266136340 is a wasteful number, since it uses less digits than its factorization.

1266136340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32256 (or 32254 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 1266136340 is about 35582.8096136323. The cubic root of 1266136340 is about 1081.8328331574.

The spelling of 1266136340 in words is "one billion, two hundred sixty-six million, one hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 283 566 1132 1415 1981 2830 3962 5660 7924 9905 19810 31957 39620 63914 127828 159785 223699 319570 447398 639140 894796 1118495 2236990 4473980 9043831 18087662 36175324 45219155 63306817 90438310 126613634 180876620 253227268 316534085 633068170 1266136340