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11379528 = 2334171033
BaseRepresentation
bin101011011010…
…001101001000
3210102010210000
4223122031020
510403121103
61043523000
7165503316
oct53321510
923363700
1011379528
116472676
123989460
132485764
1417230b6
15eebaa3
hexada348

11379528 has 80 divisors (see below), whose sum is σ = 33780780. Its totient is φ = 3566592.

The previous prime is 11379527. The next prime is 11379539. The reversal of 11379528 is 82597311.

It can be written as a sum of positive squares in 2 ways, for example, as 9253764 + 2125764 = 3042^2 + 1458^2 .

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

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 11379492 and 11379501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11379521) 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 19 ways as a sum of consecutive naturals, for example, 10500 + ... + 11532.

Almost surely, 211379528 is an apocalyptic number.

11379528 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 11379528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16890390).

11379528 is an abundant number, since it is smaller than the sum of its proper divisors (22401252).

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

11379528 is a wasteful number, since it uses less digits than its factorization.

11379528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1055 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 11379528 is about 3373.3555993995. The cubic root of 11379528 is about 224.9269095928.

The spelling of 11379528 in words is "eleven million, three hundred seventy-nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1033 1224 1377 1836 2066 2754 3099 3672 4132 5508 6198 8264 9297 11016 12396 17561 18594 24792 27891 35122 37188 52683 55782 70244 74376 83673 105366 111564 140488 158049 167346 210732 223128 316098 334692 421464 474147 632196 669384 948294 1264392 1422441 1896588 2844882 3793176 5689764 11379528