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12271896 = 23327131873
BaseRepresentation
bin101110110100…
…000100011000
3212002110212200
4232310010120
511120200041
61115010200
7206211060
oct56640430
925073780
1012271896
116a2206a
124139960
1327089a0
1418b63a0
1511261b6
hexbb4118

12271896 has 96 divisors (see below), whose sum is σ = 40928160. Its totient is φ = 3234816.

The previous prime is 12271879. The next prime is 12271951. The reversal of 12271896 is 69817221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12271896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5616 + ... + 7488.

It is an arithmetic number, because the mean of its divisors is an integer number (426335).

Almost surely, 212271896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12271896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20464080).

12271896 is an abundant number, since it is smaller than the sum of its proper divisors (28656264).

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

12271896 is a wasteful number, since it uses less digits than its factorization.

12271896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1898 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12271896 is about 3503.1266034787. The cubic root of 12271896 is about 230.6590799440.

The spelling of 12271896 in words is "twelve million, two hundred seventy-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 1873 2184 3276 3746 5619 6552 7492 11238 13111 14984 16857 22476 24349 26222 33714 39333 44952 48698 52444 67428 73047 78666 97396 104888 117999 134856 146094 157332 170443 194792 219141 235998 292188 314664 340886 438282 471996 511329 584376 681772 876564 943992 1022658 1363544 1533987 1753128 2045316 3067974 4090632 6135948 12271896