Search a number
-
+
1266308352 = 28321928927
BaseRepresentation
bin100101101111010…
…0101010100000000
310021020210010111100
41023132211110000
510043133331402
6325353214400
743244305041
oct11336452400
93236703440
101266308352
1159a886231
122b4101400
1317246c8aa
14c02708c8
157628771c
hex4b7a5500

1266308352 has 108 divisors (see below), whose sum is σ = 3843374080. Its totient is φ = 399873024.

The previous prime is 1266308347. The next prime is 1266308363. The reversal of 1266308352 is 2538036621.

It is a happy number.

1266308352 is a `hidden beast` number, since 12 + 6 + 630 + 8 + 3 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 29313 + ... + 58239.

Almost surely, 21266308352 is an apocalyptic number.

1266308352 is a gapful number since it is divisible by the number (12) 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 1266308352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921687040).

1266308352 is an abundant number, since it is smaller than the sum of its proper divisors (2577065728).

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

1266308352 is a wasteful number, since it uses less digits than its factorization.

1266308352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28968 (or 28951 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1266308352 is about 35585.2265975643. The cubic root of 1266308352 is about 1081.8818220372.

The spelling of 1266308352 in words is "one billion, two hundred sixty-six million, three hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5472 7296 10944 14592 21888 28927 43776 57854 86781 115708 173562 231416 260343 347124 462832 520686 549613 694248 925664 1041372 1099226 1388496 1648839 1851328 2082744 2198452 2776992 3297678 3702656 4165488 4396904 4946517 5553984 6595356 7405312 8330976 8793808 9893034 11107968 13190712 16661952 17587616 19786068 22215936 26381424 33323904 35175232 39572136 52762848 66647808 70350464 79144272 105525696 140700928 158288544 211051392 316577088 422102784 633154176 1266308352