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11997944 = 2372127241
BaseRepresentation
bin101101110001…
…001011111000
3211120120002022
4231301023320
511032413234
61105054012
7203660300
oct55611370
924516068
1011997944
116855262
124027308
13264109a
141844600
1510bee2e
hexb712f8

11997944 has 48 divisors (see below), whose sum is σ = 26484480. Its totient is φ = 5080320.

The previous prime is 11997943. The next prime is 11997959. The reversal of 11997944 is 44979911.

11997944 = 922 + 932 + ... + 3322.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11997895 and 11997904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11997943) 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 11 ways as a sum of consecutive naturals, for example, 49664 + ... + 49904.

It is an arithmetic number, because the mean of its divisors is an integer number (551760).

Almost surely, 211997944 is an apocalyptic number.

11997944 is a gapful number since it is divisible by the number (14) 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 11997944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13242240).

11997944 is an abundant number, since it is smaller than the sum of its proper divisors (14486536).

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

11997944 is a wasteful number, since it uses less digits than its factorization.

11997944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its digits is 81648, while the sum is 44.

The square root of 11997944 is about 3463.8048443872. The cubic root of 11997944 is about 228.9297725834.

The spelling of 11997944 in words is "eleven million, nine hundred ninety-seven thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 127 196 241 254 392 482 508 889 964 1016 1687 1778 1928 3374 3556 6223 6748 7112 11809 12446 13496 23618 24892 30607 47236 49784 61214 94472 122428 214249 244856 428498 856996 1499743 1713992 2999486 5998972 11997944