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11534220 = 22325139461
BaseRepresentation
bin101011111111…
…111110001100
3210200222222100
4223333332030
510423043340
61051115100
7200016315
oct53777614
923628870
1011534220
116568915
123a42a90
13250aca9
14176360c
15102c830
hexafff8c

11534220 has 72 divisors (see below), whose sum is σ = 35315280. Its totient is φ = 3047040.

The previous prime is 11534213. The next prime is 11534287. The reversal of 11534220 is 2243511.

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

It is a junction number, because it is equal to n+sod(n) for n = 11534193 and 11534202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24790 + ... + 25250.

It is an arithmetic number, because the mean of its divisors is an integer number (490490).

Almost surely, 211534220 is an apocalyptic number.

11534220 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 11534220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17657640).

11534220 is an abundant number, since it is smaller than the sum of its proper divisors (23781060).

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

11534220 is a wasteful number, since it uses less digits than its factorization.

11534220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 11534220 is about 3396.2067074900. The cubic root of 11534220 is about 225.9415360298.

Adding to 11534220 its reverse (2243511), we get a palindrome (13777731).

The spelling of 11534220 in words is "eleven million, five hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 461 556 695 834 922 1251 1383 1390 1668 1844 2085 2305 2502 2766 2780 4149 4170 4610 5004 5532 6255 6915 8298 8340 9220 12510 13830 16596 20745 25020 27660 41490 64079 82980 128158 192237 256316 320395 384474 576711 640790 768948 961185 1153422 1281580 1922370 2306844 2883555 3844740 5767110 11534220