Search a number
-
+
11954916 = 2232332081
BaseRepresentation
bin101101100110…
…101011100100
3211111101001200
4231212223210
511030024131
61104122500
7203420661
oct55465344
924441050
1011954916
1168259a6
124006430
13262761c
141832a68
1510b22e6
hexb66ae4

11954916 has 18 divisors (see below), whose sum is σ = 30219462. Its totient is φ = 3984960.

The previous prime is 11954897. The next prime is 11954923. The reversal of 11954916 is 61945911.

It can be written as a sum of positive squares in only one way, i.e., 11249316 + 705600 = 3354^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×119549163 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 332081 = 11954916 / (1 + 1 + 9 + 5 + 4 + 9 + 1 + 6).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 166005 + ... + 166076.

It is an arithmetic number, because the mean of its divisors is an integer number (1678859).

Almost surely, 211954916 is an apocalyptic number.

It is an amenable number.

11954916 is an abundant number, since it is smaller than the sum of its proper divisors (18264546).

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

11954916 is a wasteful number, since it uses less digits than its factorization.

11954916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332091 (or 332086 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The square root of 11954916 is about 3457.5881767498. The cubic root of 11954916 is about 228.6557759388.

The spelling of 11954916 in words is "eleven million, nine hundred fifty-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 332081 664162 996243 1328324 1992486 2988729 3984972 5977458 11954916