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11688030 = 233573593
BaseRepresentation
bin101100100101…
…100001011110
3210222210222000
4230211201132
510443004110
61054303130
7201226614
oct54454136
923883860
1011688030
116663432
123ab7aa6
132562cc3
1417a36b4
15105d1c0
hexb2585e

11688030 has 64 divisors (see below), whose sum is σ = 31648320. Its totient is φ = 3068928.

The previous prime is 11687989. The next prime is 11688043. The reversal of 11688030 is 3088611.

11688030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×116880302 = 273220090561800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11687985 and 11688003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19414 + ... + 20006.

It is an arithmetic number, because the mean of its divisors is an integer number (494505).

Almost surely, 211688030 is an apocalyptic number.

11688030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11688030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15824160).

11688030 is an abundant number, since it is smaller than the sum of its proper divisors (19960290).

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

11688030 is a wasteful number, since it uses less digits than its factorization.

11688030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11688030 is about 3418.7760967925. The cubic root of 11688030 is about 226.9414223930.

The spelling of 11688030 in words is "eleven million, six hundred eighty-eight thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 90 135 146 219 270 365 438 593 657 730 1095 1186 1314 1779 1971 2190 2965 3285 3558 3942 5337 5930 6570 8895 9855 10674 16011 17790 19710 26685 32022 43289 53370 80055 86578 129867 160110 216445 259734 389601 432890 649335 779202 1168803 1298670 1948005 2337606 3896010 5844015 11688030