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11930832 = 2432292857
BaseRepresentation
bin101101100000…
…110011010000
3211110011000200
4231200303100
511023241312
61103415200
7203260524
oct55406320
924404020
1011930832
1168098a1
123bb4500
132619684
141827d84
1510aa0dc
hexb60cd0

11930832 has 60 divisors (see below), whose sum is σ = 34553220. Its totient is φ = 3838464.

The previous prime is 11930801. The next prime is 11930839. The reversal of 11930832 is 23803911.

It can be written as a sum of positive squares in 2 ways, for example, as 7160976 + 4769856 = 2676^2 + 2184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11930796 and 11930805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11930839) 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, 2748 + ... + 5604.

It is an arithmetic number, because the mean of its divisors is an integer number (575887).

Almost surely, 211930832 is an apocalyptic number.

11930832 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 11930832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17276610).

11930832 is an abundant number, since it is smaller than the sum of its proper divisors (22622388).

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

11930832 is a wasteful number, since it uses less digits than its factorization.

11930832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 11930832 is about 3454.1036463893. The cubic root of 11930832 is about 228.5021251201.

The spelling of 11930832 in words is "eleven million, nine hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 2857 4176 5714 8571 11428 17142 22856 25713 34284 45712 51426 68568 82853 102852 137136 165706 205704 248559 331412 411408 497118 662824 745677 994236 1325648 1491354 1988472 2982708 3976944 5965416 11930832