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11379816 = 2332767337
BaseRepresentation
bin101011011010…
…010001101000
3210102011011200
4223122101220
510403123231
61043524200
7165504210
oct53322150
923364150
1011379816
116472908
123989660
132485926
141723240
15eebbe6
hexada468

11379816 has 96 divisors (see below), whose sum is σ = 35855040. Its totient is φ = 3193344.

The previous prime is 11379811. The next prime is 11379833. The reversal of 11379816 is 61897311.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11379811) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33600 + ... + 33936.

It is an arithmetic number, because the mean of its divisors is an integer number (373490).

Almost surely, 211379816 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 11379816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17927520).

11379816 is an abundant number, since it is smaller than the sum of its proper divisors (24475224).

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

11379816 is a wasteful number, since it uses less digits than its factorization.

11379816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 416 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 11379816 is about 3373.3982865947. The cubic root of 11379816 is about 224.9288071057.

The spelling of 11379816 in words is "eleven million, three hundred seventy-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 84 126 134 168 201 252 268 337 402 469 504 536 603 674 804 938 1011 1206 1348 1407 1608 1876 2022 2359 2412 2696 2814 3033 3752 4044 4221 4718 4824 5628 6066 7077 8088 8442 9436 11256 12132 14154 16884 18872 21231 22579 24264 28308 33768 42462 45158 56616 67737 84924 90316 135474 158053 169848 180632 203211 270948 316106 406422 474159 541896 632212 812844 948318 1264424 1422477 1625688 1896636 2844954 3793272 5689908 11379816