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11969712 = 2432101823
BaseRepresentation
bin101101101010…
…010010110000
3211112010100200
4231222102300
511031012322
61104315200
7203512056
oct55522260
924463320
1011969712
116836027
124012b00
132631291
1418381d6
1510b68ac
hexb6a4b0

11969712 has 60 divisors (see below), whose sum is σ = 33871344. Its totient is φ = 3945600.

The previous prime is 11969701. The next prime is 11969723. The reversal of 11969712 is 21796911.

It is an interprime number because it is at equal distance from previous prime (11969701) and next prime (11969723).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 14133 + ... + 14955.

Almost surely, 211969712 is an apocalyptic number.

11969712 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 11969712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16935672).

11969712 is an abundant number, since it is smaller than the sum of its proper divisors (21901632).

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

11969712 is a wasteful number, since it uses less digits than its factorization.

11969712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 929 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 11969712 is about 3459.7271568723. The cubic root of 11969712 is about 228.7500689779.

The spelling of 11969712 in words is "eleven million, nine hundred sixty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 823 909 1212 1616 1646 1818 2424 2469 3292 3636 4848 4938 6584 7272 7407 9876 13168 14544 14814 19752 29628 39504 59256 83123 118512 166246 249369 332492 498738 664984 748107 997476 1329968 1496214 1994952 2992428 3989904 5984856 11969712