Search a number
-
+
1375864308 = 2232713457919
BaseRepresentation
bin101001000000010…
…0000010111110100
310112212221011000100
41102000200113310
510304210124213
6344305314100
746044440130
oct12200402764
93485834010
101375864308
11646704245
12324935930
1318c07aac0
14d0a2c3c0
1580bc8773
hex520205f4

1375864308 has 144 divisors (see below), whose sum is σ = 4294501120. Its totient is φ = 361677312.

The previous prime is 1375864297. The next prime is 1375864327. The reversal of 1375864308 is 8034685731.

1375864308 is a `hidden beast` number, since 1 + 37 + 586 + 4 + 30 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1496673 + ... + 1497591.

Almost surely, 21375864308 is an apocalyptic number.

1375864308 is a gapful number since it is divisible by the number (18) 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 1375864308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147250560).

1375864308 is an abundant number, since it is smaller than the sum of its proper divisors (2918636812).

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

1375864308 is a wasteful number, since it uses less digits than its factorization.

1375864308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1375864308 is about 37092.6449313068. The cubic root of 1375864308 is about 1112.2229908806. Note that the first 3 decimals are identical.

The spelling of 1375864308 in words is "one billion, three hundred seventy-five million, eight hundred sixty-four thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 457 468 546 819 914 919 1092 1371 1638 1828 1838 2742 2757 3199 3276 3676 4113 5484 5514 5941 6398 6433 8226 8271 9597 11028 11882 11947 12796 12866 16452 16542 17823 19194 19299 23764 23894 25732 28791 33084 35646 35841 38388 38598 41587 47788 53469 57582 57897 71292 71682 77196 83174 83629 106938 107523 115164 115794 124761 143364 166348 167258 213876 215046 231588 249522 250887 334516 374283 419983 430092 499044 501774 748566 752661 839966 1003548 1259949 1497132 1505322 1679932 2519898 2939881 3010644 3779847 5039796 5459779 5879762 7559694 8819643 10919558 11759524 15119388 16379337 17639286 21839116 26458929 32758674 35278572 38218453 49138011 52917858 65517348 76436906 98276022 105835716 114655359 152873812 196552044 229310718 343966077 458621436 687932154 1375864308