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11980008 = 2333371499
BaseRepresentation
bin101101101100…
…110011101000
3211112122111000
4231230303220
511031330013
61104435000
7203554065
oct55546350
924478430
1011980008
116842837
124018a60
132635b81
14183bc6c
1510b9973
hexb6cce8

11980008 has 64 divisors (see below), whose sum is σ = 34200000. Its totient is φ = 3882816.

The previous prime is 11979997. The next prime is 11980021. The reversal of 11980008 is 80008911.

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

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 15 ways as a sum of consecutive naturals, for example, 7243 + ... + 8741.

It is an arithmetic number, because the mean of its divisors is an integer number (534375).

Almost surely, 211980008 is an apocalyptic number.

11980008 is a gapful number since it is divisible by the number (18) 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 11980008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100000).

11980008 is an abundant number, since it is smaller than the sum of its proper divisors (22219992).

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

11980008 is a wasteful number, since it uses less digits than its factorization.

11980008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 11980008 is about 3461.2148156392. The cubic root of 11980008 is about 228.8156382452.

Adding to 11980008 its reverse (80008911), we get a palindrome (91988919).

The spelling of 11980008 in words is "eleven million, nine hundred eighty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1499 1998 2664 2998 3996 4497 5996 7992 8994 11992 13491 17988 26982 35976 40473 53964 55463 80946 107928 110926 161892 166389 221852 323784 332778 443704 499167 665556 998334 1331112 1497501 1996668 2995002 3993336 5990004 11980008