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11977540 = 225598877
BaseRepresentation
bin101101101100…
…001101000100
3211112112002121
4231230031010
511031240130
61104415324
7203543641
oct55541504
924475077
1011977540
1168409a3
124017544
132634a03
14183adc8
1510b8d7a
hexb6c344

11977540 has 12 divisors (see below), whose sum is σ = 25152876. Its totient is φ = 4791008.

The previous prime is 11977519. The next prime is 11977541. The reversal of 11977540 is 4577911.

It can be written as a sum of positive squares in 2 ways, for example, as 5837056 + 6140484 = 2416^2 + 2478^2 .

It is a super-2 number, since 2×119775402 = 286922928903200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11977496 and 11977505.

It is not an unprimeable number, because it can be changed into a prime (11977541) 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 3 ways as a sum of consecutive naturals, for example, 299419 + ... + 299458.

It is an arithmetic number, because the mean of its divisors is an integer number (2096073).

Almost surely, 211977540 is an apocalyptic number.

11977540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11977540 is an abundant number, since it is smaller than the sum of its proper divisors (13175336).

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

11977540 is a wasteful number, since it uses less digits than its factorization.

11977540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598886 (or 598884 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

The square root of 11977540 is about 3460.8582750526. The cubic root of 11977540 is about 228.7999244054.

The spelling of 11977540 in words is "eleven million, nine hundred seventy-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 598877 1197754 2395508 2994385 5988770 11977540