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11329020 = 2232562939
BaseRepresentation
bin101011001101…
…110111111100
3210022120111100
4223031313330
510400012040
61042453100
7165203133
oct53156774
923276440
1011329020
11643872a
123964190
132468781
14170c91a
15edbb30
hexacddfc

11329020 has 36 divisors (see below), whose sum is σ = 34365240. Its totient is φ = 3021024.

The previous prime is 11329013. The next prime is 11329027. The reversal of 11329020 is 2092311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11329013) and next prime (11329027).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 11328984 and 11329002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11329027) 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, 31290 + ... + 31649.

It is an arithmetic number, because the mean of its divisors is an integer number (954590).

Almost surely, 211329020 is an apocalyptic number.

11329020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11329020 is an abundant number, since it is smaller than the sum of its proper divisors (23036220).

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

11329020 is a wasteful number, since it uses less digits than its factorization.

11329020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62954 (or 62949 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 11329020 is about 3365.8609596952. The cubic root of 11329020 is about 224.5936368968.

The spelling of 11329020 in words is "eleven million, three hundred twenty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 62939 125878 188817 251756 314695 377634 566451 629390 755268 944085 1132902 1258780 1888170 2265804 2832255 3776340 5664510 11329020