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11939144 = 237319229
BaseRepresentation
bin101101100010…
…110101001000
3211110120102112
4231202311020
511024023034
61103521452
7203324000
oct55426510
924416375
1011939144
116815068
123bb9288
1326203a9
14182b000
1510ac7ce
hexb62d48

11939144 has 64 divisors (see below), whose sum is σ = 27600000. Its totient is φ = 4826304.

The previous prime is 11939113. The next prime is 11939177. The reversal of 11939144 is 44193911.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11939144.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 52022 + ... + 52250.

It is an arithmetic number, because the mean of its divisors is an integer number (431250).

Almost surely, 211939144 is an apocalyptic number.

11939144 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 11939144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13800000).

11939144 is an abundant number, since it is smaller than the sum of its proper divisors (15660856).

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

11939144 is a wasteful number, since it uses less digits than its factorization.

11939144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 257 counting only the distinct ones).

The product of its digits is 3888, while the sum is 32.

The square root of 11939144 is about 3455.3066434110. The cubic root of 11939144 is about 228.5551772672. Note that the first 3 decimals are identical.

The spelling of 11939144 in words is "eleven million, nine hundred thirty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 229 266 343 392 458 532 686 916 931 1064 1372 1603 1832 1862 2744 3206 3724 4351 6412 6517 7448 8702 11221 12824 13034 17404 22442 26068 30457 34808 44884 52136 60914 78547 89768 121828 157094 213199 243656 314188 426398 628376 852796 1492393 1705592 2984786 5969572 11939144