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11930576 = 247372879
BaseRepresentation
bin101101100000…
…101111010000
3211110010200012
4231200233100
511023234301
61103414052
7203260010
oct55405720
924403605
1011930576
116809689
123bb4328
132619518
141827c40
1510a9ebb
hexb60bd0

11930576 has 40 divisors (see below), whose sum is σ = 27141120. Its totient is φ = 4973184.

The previous prime is 11930561. The next prime is 11930663. The reversal of 11930576 is 67503911.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2705 + ... + 5583.

It is an arithmetic number, because the mean of its divisors is an integer number (678528).

Almost surely, 211930576 is an apocalyptic number.

11930576 is a gapful number since it is divisible by the number (16) 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 11930576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570560).

11930576 is an abundant number, since it is smaller than the sum of its proper divisors (15210544).

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

11930576 is a wasteful number, since it uses less digits than its factorization.

11930576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 11930576 is about 3454.0665888196. The cubic root of 11930576 is about 228.5004907842.

The spelling of 11930576 in words is "eleven million, nine hundred thirty thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 2879 4144 5758 11516 20153 23032 40306 46064 80612 106523 161224 213046 322448 426092 745661 852184 1491322 1704368 2982644 5965288 11930576