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12140240 = 2457219163
BaseRepresentation
bin101110010011…
…111011010000
3211211210021112
4232103323100
511101441430
61112112452
7205122200
oct56237320
924753245
1012140240
116942162
124095728
132690a98
141880400
1510ec195
hexb93ed0

12140240 has 120 divisors (see below), whose sum is σ = 34774560. Its totient is φ = 3919104.

The previous prime is 12140237. The next prime is 12140243. The reversal of 12140240 is 4204121.

It is an interprime number because it is at equal distance from previous prime (12140237) and next prime (12140243).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140243) 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 23 ways as a sum of consecutive naturals, for example, 74399 + ... + 74561.

It is an arithmetic number, because the mean of its divisors is an integer number (289788).

Almost surely, 212140240 is an apocalyptic number.

12140240 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 12140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17387280).

12140240 is an abundant number, since it is smaller than the sum of its proper divisors (22634320).

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

12140240 is a wasteful number, since it uses less digits than its factorization.

12140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 12140240 is about 3484.2847185613. The cubic root of 12140240 is about 229.8312561904.

Adding to 12140240 its reverse (4204121), we get a palindrome (16344361).

The spelling of 12140240 in words is "twelve million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 49 56 70 76 80 95 98 112 133 140 152 163 190 196 245 266 280 304 326 380 392 490 532 560 652 665 760 784 815 931 980 1064 1141 1304 1330 1520 1630 1862 1960 2128 2282 2608 2660 3097 3260 3724 3920 4564 4655 5320 5705 6194 6520 7448 7987 9128 9310 10640 11410 12388 13040 14896 15485 15974 18256 18620 21679 22820 24776 30970 31948 37240 39935 43358 45640 49552 61940 63896 74480 79870 86716 91280 108395 123880 127792 151753 159740 173432 216790 247760 303506 319480 346864 433580 607012 638960 758765 867160 1214024 1517530 1734320 2428048 3035060 6070120 12140240