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11972128 = 257192997
BaseRepresentation
bin101101101010…
…111000100000
3211112020200011
4231222320200
511031102003
61104334304
7203522110
oct55527040
924466604
1011972128
116837923
124014394
1326323cc
141839040
1510b746d
hexb6ae20

11972128 has 96 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 4644864.

The previous prime is 11972113. The next prime is 11972141. The reversal of 11972128 is 82127911.

It is a self number, because there is not a number n which added to its sum of digits gives 11972128.

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, 123376 + ... + 123472.

It is an arithmetic number, because the mean of its divisors is an integer number (308700).

Almost surely, 211972128 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 11972128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).

11972128 is an abundant number, since it is smaller than the sum of its proper divisors (17663072).

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

11972128 is a wasteful number, since it uses less digits than its factorization.

11972128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its digits is 2016, while the sum is 31.

The square root of 11972128 is about 3460.0762997368. The cubic root of 11972128 is about 228.7654584594.

It can be divided in two parts, 11972 and 128, that added together give a square (12100 = 1102).

The spelling of 11972128 in words is "eleven million, nine hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 56 58 76 97 112 116 133 152 194 203 224 232 266 304 388 406 464 532 551 608 679 776 812 928 1064 1102 1358 1552 1624 1843 2128 2204 2716 2813 3104 3248 3686 3857 4256 4408 5432 5626 6496 7372 7714 8816 10864 11252 12901 14744 15428 17632 19691 21728 22504 25802 29488 30856 39382 45008 51604 53447 58976 61712 78764 90016 103208 106894 123424 157528 206416 213788 315056 374129 412832 427576 630112 748258 855152 1496516 1710304 2993032 5986064 11972128