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1340155520 = 27511414643
BaseRepresentation
bin100111111100001…
…0010011010000000
310110101201221202122
41033320102122000
510221034434040
6340552103412
745132063644
oct11770223200
93411657678
101340155520
11628534750
12314994b68
13184857542
14c9db4c24
157c9c31b5
hex4fe12680

1340155520 has 128 divisors (see below), whose sum is σ = 3581081280. Its totient is φ = 475340800.

The previous prime is 1340155517. The next prime is 1340155529. The reversal of 1340155520 is 255510431.

1340155520 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1340155520.

It is not an unprimeable number, because it can be changed into a prime (1340155529) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 286319 + ... + 290961.

Almost surely, 21340155520 is an apocalyptic number.

1340155520 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 1340155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790540640).

1340155520 is an abundant number, since it is smaller than the sum of its proper divisors (2240925760).

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

1340155520 is a wasteful number, since it uses less digits than its factorization.

1340155520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 1340155520 is about 36608.1346151371. The cubic root of 1340155520 is about 1102.5164207254.

Adding to 1340155520 its reverse (255510431), we get a palindrome (1595665951).

It can be divided in two parts, 13401 and 55520, that added together give a cube (68921 = 413).

The spelling of 1340155520 in words is "one billion, three hundred forty million, one hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 128 160 164 176 205 220 320 328 352 410 440 451 640 656 704 820 880 902 1312 1408 1640 1760 1804 2255 2624 3280 3520 3608 4510 4643 5248 6560 7040 7216 9020 9286 13120 14432 18040 18572 23215 26240 28864 36080 37144 46430 51073 57728 72160 74288 92860 102146 144320 148576 185720 190363 204292 255365 288640 297152 371440 380726 408584 510730 594304 742880 761452 817168 951815 1021460 1485760 1522904 1634336 1903630 2042920 2093993 2971520 3045808 3268672 3807260 4085840 4187986 6091616 6537344 7614520 8171680 8375972 10469965 12183232 15229040 16343360 16751944 20939930 24366464 30458080 32686720 33503888 41879860 60916160 67007776 83759720 121832320 134015552 167519440 268031104 335038880 670077760 1340155520