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1340871120 = 243253750333
BaseRepresentation
bin100111111101100…
…0001000111010000
310110110002022101100
41033323001013100
510221230333440
6341015304400
745141134151
oct11773010720
93413068340
101340871120
11628983356
1231507b100
13184a48184
14ca11d928
157cab5230
hex4fec11d0

1340871120 has 120 divisors (see below), whose sum is σ = 4624889256. Its totient is φ = 347894784.

The previous prime is 1340871109. The next prime is 1340871143. The reversal of 1340871120 is 211780431.

It can be written as a sum of positive squares in 4 ways, for example, as 561121344 + 779749776 = 23688^2 + 27924^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1474 + ... + 51806.

Almost surely, 21340871120 is an apocalyptic number.

1340871120 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 1340871120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312444628).

1340871120 is an abundant number, since it is smaller than the sum of its proper divisors (3284018136).

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

1340871120 is a wasteful number, since it uses less digits than its factorization.

1340871120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50389 (or 50380 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1340871120 is about 36617.9070947535. The cubic root of 1340871120 is about 1102.7126219260.

The spelling of 1340871120 in words is "one billion, three hundred forty million, eight hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 50333 100666 150999 201332 251665 301998 402664 452997 503330 603996 754995 805328 905994 1006660 1207992 1509990 1811988 1862321 2013320 2264985 2415984 3019980 3623976 3724642 4026640 4529970 5586963 6039960 7247952 7449284 9059940 9311605 11173926 12079920 14898568 16760889 18119880 18623210 22347852 27934815 29797136 33521778 36239760 37246420 44695704 55869630 67043556 74492840 83804445 89391408 111739260 134087112 148985680 167608890 223478520 268174224 335217780 446957040 670435560 1340871120