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12151040 = 28511863
BaseRepresentation
bin101110010110…
…100100000000
3211212100002112
4232112210000
511102313130
61112234452
7205165526
oct56264400
924770075
1012151040
11694a290
12409ba28
132695985
141884316
151100495
hexb96900

12151040 has 72 divisors (see below), whose sum is σ = 31788288. Its totient is φ = 4413440.

The previous prime is 12151033. The next prime is 12151063. The reversal of 12151040 is 4015121.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13649 + ... + 14511.

It is an arithmetic number, because the mean of its divisors is an integer number (441504).

Almost surely, 212151040 is an apocalyptic number.

12151040 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 12151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894144).

12151040 is an abundant number, since it is smaller than the sum of its proper divisors (19637248).

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

12151040 is an equidigital number, since it uses as much as digits as its factorization.

12151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 12151040 is about 3485.8341899752. The cubic root of 12151040 is about 229.8993888874.

Adding to 12151040 its reverse (4015121), we get a palindrome (16166161).

The spelling of 12151040 in words is "twelve million, one hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 863 880 1280 1408 1726 1760 2816 3452 3520 4315 6904 7040 8630 9493 13808 14080 17260 18986 27616 34520 37972 47465 55232 69040 75944 94930 110464 138080 151888 189860 220928 276160 303776 379720 552320 607552 759440 1104640 1215104 1518880 2430208 3037760 6075520 12151040