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11055960 = 2333529353
BaseRepresentation
bin101010001011…
…001101011000
3202210200221000
4222023031120
510312242320
61032545000
7162655056
oct52131530
922720830
1011055960
116271563
123852160
1323a13b6
14167b1d6
15e85c90
hexa8b358

11055960 has 128 divisors (see below), whose sum is σ = 38232000. Its totient is φ = 2838528.

The previous prime is 11055953. The next prime is 11055983. The reversal of 11055960 is 6955011.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31144 + ... + 31496.

Almost surely, 211055960 is an apocalyptic number.

11055960 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 11055960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19116000).

11055960 is an abundant number, since it is smaller than the sum of its proper divisors (27176040).

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

11055960 is a wasteful number, since it uses less digits than its factorization.

11055960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 11055960 is about 3325.0503755582. The cubic root of 11055960 is about 222.7745044407.

The spelling of 11055960 in words is "eleven million, fifty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 353 360 435 522 540 580 696 706 783 870 1044 1059 1080 1160 1305 1412 1566 1740 1765 2088 2118 2610 2824 3132 3177 3480 3530 3915 4236 5220 5295 6264 6354 7060 7830 8472 9531 10237 10440 10590 12708 14120 15660 15885 19062 20474 21180 25416 30711 31320 31770 38124 40948 42360 47655 51185 61422 63540 76248 81896 92133 95310 102370 122844 127080 153555 184266 190620 204740 245688 276399 307110 368532 381240 409480 460665 552798 614220 737064 921330 1105596 1228440 1381995 1842660 2211192 2763990 3685320 5527980 11055960