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12077340 = 22351129631
BaseRepresentation
bin101110000100…
…100100011100
3211201120222220
4232010210130
511042433330
61110505340
7204440622
oct56044434
924646886
1012077340
1168a9980
124065250
13266b272
141865512
1510d8710
hexb8491c

12077340 has 96 divisors (see below), whose sum is σ = 38223360. Its totient is φ = 2822400.

The previous prime is 12077333. The next prime is 12077347. The reversal of 12077340 is 4377021.

It is an interprime number because it is at equal distance from previous prime (12077333) and next prime (12077347).

It is a self number, because there is not a number n which added to its sum of digits gives 12077340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12077347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18825 + ... + 19455.

It is an arithmetic number, because the mean of its divisors is an integer number (398160).

Almost surely, 212077340 is an apocalyptic number.

12077340 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 12077340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111680).

12077340 is an abundant number, since it is smaller than the sum of its proper divisors (26146020).

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

12077340 is a wasteful number, since it uses less digits than its factorization.

12077340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 12077340 is about 3475.2467538291. The cubic root of 12077340 is about 229.4336411826.

The spelling of 12077340 in words is "twelve million, seventy-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 631 638 660 870 957 1262 1276 1595 1740 1893 1914 2524 3155 3190 3786 3828 4785 6310 6380 6941 7572 9465 9570 12620 13882 18299 18930 19140 20823 27764 34705 36598 37860 41646 54897 69410 73196 83292 91495 104115 109794 138820 182990 201289 208230 219588 274485 365980 402578 416460 548970 603867 805156 1006445 1097940 1207734 2012890 2415468 3019335 4025780 6038670 12077340