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1340582124 = 2237173792477
BaseRepresentation
bin100111111100111…
…1010100011101100
310110102112121221210
41033321322203230
510221142111444
6341005154420
745135521460
oct11771724354
93412477853
101340582124
116287a6212
12314b5ba10
1318497677b
14ca0864a0
157ca597b9
hex4fe7a8ec

1340582124 has 96 divisors (see below), whose sum is σ = 3796692480. Its totient is φ = 359396352.

The previous prime is 1340582093. The next prime is 1340582143. The reversal of 1340582124 is 4212850431.

It is a junction number, because it is equal to n+sod(n) for n = 1340582091 and 1340582100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539974 + ... + 542450.

It is an arithmetic number, because the mean of its divisors is an integer number (39548880).

Almost surely, 21340582124 is an apocalyptic number.

1340582124 is a gapful number since it is divisible by the number (14) 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 1340582124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898346240).

1340582124 is an abundant number, since it is smaller than the sum of its proper divisors (2456110356).

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

1340582124 is a wasteful number, since it uses less digits than its factorization.

1340582124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1340582124 is about 36613.9607800085. The cubic root of 1340582124 is about 1102.6333942185.

The spelling of 1340582124 in words is "one billion, three hundred forty million, five hundred eighty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 379 476 714 758 1137 1428 1516 2274 2477 2653 4548 4954 5306 6443 7431 7959 9908 10612 12886 14862 15918 17339 19329 25772 29724 31836 34678 38658 42109 45101 52017 69356 77316 84218 90202 104034 126327 135303 168436 180404 208068 252654 270606 294763 505308 541212 589526 884289 938783 1179052 1768578 1877566 2816349 3537156 3755132 5632698 6571481 11265396 13142962 15959311 19714443 26285924 31918622 39428886 47877933 63837244 78857772 95755866 111715177 191511732 223430354 335145531 446860708 670291062 1340582124