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12150816 = 253472693
BaseRepresentation
bin101110010110…
…100000100000
3211212022210020
4232112200200
511102311231
61112233440
7205165056
oct56264040
924768706
1012150816
11694a0a7
12409b880
132695842
1418841d6
151100396
hexb96820

12150816 has 48 divisors (see below), whose sum is σ = 32586624. Its totient is φ = 3962624.

The previous prime is 12150799. The next prime is 12150829. The reversal of 12150816 is 61805121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3166 + ... + 5858.

It is an arithmetic number, because the mean of its divisors is an integer number (678888).

Almost surely, 212150816 is an apocalyptic number.

12150816 is a gapful number since it is divisible by the number (16) 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 12150816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16293312).

12150816 is an abundant number, since it is smaller than the sum of its proper divisors (20435808).

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

12150816 is a wasteful number, since it uses less digits than its factorization.

12150816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 12150816 is about 3485.8020597848. The cubic root of 12150816 is about 229.8979761748.

Adding to 12150816 its reverse (61805121), we get a palindrome (73955937).

The spelling of 12150816 in words is "twelve million, one hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 2693 4512 5386 8079 10772 16158 21544 32316 43088 64632 86176 126571 129264 253142 258528 379713 506284 759426 1012568 1518852 2025136 3037704 4050272 6075408 12150816