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12394976 = 2511231531
BaseRepresentation
bin101111010010…
…000111100000
3212022201201012
4233102013200
511133114401
61121400052
7210232646
oct57220740
925281635
1012394976
116aa6590
124199028
13274ca09
141909196
15114c8bb
hexbd21e0

12394976 has 48 divisors (see below), whose sum is σ = 27796608. Its totient is φ = 5385600.

The previous prime is 12394969. The next prime is 12394979. The reversal of 12394976 is 67949321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12394979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7331 + ... + 8861.

It is an arithmetic number, because the mean of its divisors is an integer number (579096).

Almost surely, 212394976 is an apocalyptic number.

12394976 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 12394976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898304).

12394976 is an abundant number, since it is smaller than the sum of its proper divisors (15401632).

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

12394976 is a wasteful number, since it uses less digits than its factorization.

12394976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1567 counting only the distinct ones).

The product of its digits is 81648, while the sum is 41.

The square root of 12394976 is about 3520.6499399969. The cubic root of 12394976 is about 231.4276418337.

The spelling of 12394976 in words is "twelve million, three hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 1531 2024 3062 4048 6124 8096 12248 16841 24496 33682 35213 48992 67364 70426 134728 140852 269456 281704 387343 538912 563408 774686 1126816 1549372 3098744 6197488 12394976