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11429980 = 2254153263
BaseRepresentation
bin101011100110…
…100001011100
3210111200222121
4223212201130
510411224410
61044552324
7166103362
oct53464134
923450877
1011429980
1164a7571
1239b26a4
1324a2703
141737632
15100b9da
hexae685c

11429980 has 48 divisors (see below), whose sum is σ = 25147584. Its totient is φ = 4359680.

The previous prime is 11429953. The next prime is 11429983. The reversal of 11429980 is 8992411.

11429980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11429983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43329 + ... + 43591.

It is an arithmetic number, because the mean of its divisors is an integer number (523908).

Almost surely, 211429980 is an apocalyptic number.

11429980 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 11429980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12573792).

11429980 is an abundant number, since it is smaller than the sum of its proper divisors (13717604).

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

11429980 is a wasteful number, since it uses less digits than its factorization.

11429980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 11429980 is about 3380.8253430191. The cubic root of 11429980 is about 225.2588297120.

The spelling of 11429980 in words is "eleven million, four hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 41 53 82 106 164 205 212 263 265 410 526 530 820 1052 1060 1315 2173 2630 4346 5260 8692 10783 10865 13939 21566 21730 27878 43132 43460 53915 55756 69695 107830 139390 215660 278780 571499 1142998 2285996 2857495 5714990 11429980