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11949012 = 2233314383
BaseRepresentation
bin101101100101…
…001111010100
3211111001222000
4231211033110
511024332022
61104035300
7203364525
oct55451724
924431860
1011949012
116821519
124002b30
132624a2a
14183084c
1510b06ac
hexb653d4

11949012 has 96 divisors (see below), whose sum is σ = 33116160. Its totient is φ = 3719520.

The previous prime is 11949001. The next prime is 11949013. The reversal of 11949012 is 21094911.

11949012 = 842 + 852 + ... + 3312.

It is a super-2 number, since 2×119490122 = 285557775552288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11949013) 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 31 ways as a sum of consecutive naturals, for example, 143923 + ... + 144005.

It is an arithmetic number, because the mean of its divisors is an integer number (344960).

Almost surely, 211949012 is an apocalyptic number.

11949012 is a gapful number since it is divisible by the number (12) 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 11949012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558080).

11949012 is an abundant number, since it is smaller than the sum of its proper divisors (21167148).

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

11949012 is a wasteful number, since it uses less digits than its factorization.

11949012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 11949012 is about 3456.7342969919. The cubic root of 11949012 is about 228.6181287763.

The spelling of 11949012 in words is "eleven million, nine hundred forty-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 43 54 62 83 86 93 108 124 129 166 172 186 249 258 279 332 372 387 498 516 558 747 774 837 996 1116 1161 1333 1494 1548 1674 2241 2322 2573 2666 2988 3348 3569 3999 4482 4644 5146 5332 7138 7719 7998 8964 10292 10707 11997 14276 15438 15996 21414 23157 23994 30876 32121 35991 42828 46314 47988 64242 69471 71982 92628 96363 110639 128484 138942 143964 192726 221278 277884 331917 385452 442556 663834 995751 1327668 1991502 2987253 3983004 5974506 11949012