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1540821912 = 2337127257281
BaseRepresentation
bin101101111010111…
…0001001110011000
310222101022212022020
41123311301032120
511123422300122
6412521054440
753116525110
oct13365611630
93871285266
101540821912
11720832343
12370027420
131b72b5c56
141088cc040
159040ec5c
hex5bd71398

1540821912 has 128 divisors (see below), whose sum is σ = 4470128640. Its totient is φ = 433520640.

The previous prime is 1540821899. The next prime is 1540821917. The reversal of 1540821912 is 2191280451.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540821917) 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 31 ways as a sum of consecutive naturals, for example, 5483212 + ... + 5483492.

It is an arithmetic number, because the mean of its divisors is an integer number (34922880).

Almost surely, 21540821912 is an apocalyptic number.

1540821912 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 1540821912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235064320).

1540821912 is an abundant number, since it is smaller than the sum of its proper divisors (2929306728).

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

1540821912 is a wasteful number, since it uses less digits than its factorization.

1540821912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1540821912 is about 39253.3044723626. The cubic root of 1540821912 is about 1155.0057562353.

The spelling of 1540821912 in words is "one billion, five hundred forty million, eight hundred twenty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 257 281 381 508 514 562 762 771 843 889 1016 1028 1124 1524 1542 1686 1778 1799 1967 2056 2248 2667 3048 3084 3372 3556 3598 3934 5334 5397 5901 6168 6744 7112 7196 7868 10668 10794 11802 14392 15736 21336 21588 23604 32639 35687 43176 47208 65278 71374 72217 97917 107061 130556 142748 144434 195834 214122 216651 228473 249809 261112 285496 288868 391668 428244 433302 456946 499618 505519 577736 685419 749427 783336 856488 866604 913892 999236 1011038 1370838 1498854 1516557 1733208 1827784 1998472 2022076 2741676 2997708 3033114 4044152 5483352 5995416 6066228 9171559 12132456 18343118 27514677 36686236 55029354 64200913 73372472 110058708 128401826 192602739 220117416 256803652 385205478 513607304 770410956 1540821912