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11970112 = 267211347
BaseRepresentation
bin101101101010…
…011001000000
3211112010220111
4231222121000
511031020422
61104321104
7203513200
oct55523100
924463814
1011970112
116836360
124013194
13263150b
141838400
1510b6a77
hexb6a640

11970112 has 84 divisors (see below), whose sum is σ = 30230064. Its totient is φ = 4650240.

The previous prime is 11970109. The next prime is 11970113. The reversal of 11970112 is 21107911.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11970113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34323 + ... + 34669.

Almost surely, 211970112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11970112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15115032).

11970112 is an abundant number, since it is smaller than the sum of its proper divisors (18259952).

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

11970112 is a wasteful number, since it uses less digits than its factorization.

11970112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 22.

The square root of 11970112 is about 3459.7849644161. The cubic root of 11970112 is about 228.7526170483.

The spelling of 11970112 in words is "eleven million, nine hundred seventy thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 154 176 196 224 308 347 352 392 448 539 616 694 704 784 1078 1232 1388 1568 2156 2429 2464 2776 3136 3817 4312 4858 4928 5552 7634 8624 9716 11104 15268 17003 17248 19432 22208 26719 30536 34006 34496 38864 53438 61072 68012 77728 106876 122144 136024 155456 187033 213752 244288 272048 374066 427504 544096 748132 855008 1088192 1496264 1710016 2992528 5985056 11970112