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11687620 = 2257312693
BaseRepresentation
bin101100100101…
…011011000100
3210222210101211
4230211123010
510443000440
61054301204
7201225460
oct54453304
923883354
1011687620
11666309a
123ab7804
132562a69
1417a34a0
15105ceea
hexb256c4

11687620 has 48 divisors (see below), whose sum is σ = 28965888. Its totient is φ = 3876480.

The previous prime is 11687591. The next prime is 11687629. The reversal of 11687620 is 2678611.

It is a super-2 number, since 2×116876202 = 273200922528800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (11687629) 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 15 ways as a sum of consecutive naturals, for example, 2994 + ... + 5686.

It is an arithmetic number, because the mean of its divisors is an integer number (603456).

Almost surely, 211687620 is an apocalyptic number.

11687620 is a gapful number since it is divisible by the number (10) 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 11687620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14482944).

11687620 is an abundant number, since it is smaller than the sum of its proper divisors (17278268).

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

11687620 is a wasteful number, since it uses less digits than its factorization.

11687620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 11687620 is about 3418.7161332875. The cubic root of 11687620 is about 226.9387687644.

Subtracting from 11687620 its reverse (2678611), we obtain a palindrome (9009009).

The spelling of 11687620 in words is "eleven million, six hundred eighty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 2693 4340 5386 10772 13465 18851 26930 37702 53860 75404 83483 94255 166966 188510 333932 377020 417415 584381 834830 1168762 1669660 2337524 2921905 5843810 11687620