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11742948 = 223373317
BaseRepresentation
bin101100110010…
…111011100100
3211002121022000
4230302323210
511001233243
61055405300
7201546000
oct54627344
924077260
1011742948
1166a0718
123b23830
132581cb9
1417b9700
15106e5d3
hexb32ee4

11742948 has 96 divisors (see below), whose sum is σ = 35616000. Its totient is φ = 3344544.

The previous prime is 11742911. The next prime is 11742959. The reversal of 11742948 is 84924711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36886 + ... + 37202.

It is an arithmetic number, because the mean of its divisors is an integer number (371000).

Almost surely, 211742948 is an apocalyptic number.

11742948 is a gapful number since it is divisible by the number (18) 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 11742948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17808000).

11742948 is an abundant number, since it is smaller than the sum of its proper divisors (23873052).

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

11742948 is a wasteful number, since it uses less digits than its factorization.

11742948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 329 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 11742948 is about 3426.7985058944. The cubic root of 11742948 is about 227.2963068287.

The spelling of 11742948 in words is "eleven million, seven hundred forty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 317 343 378 441 588 634 686 756 882 951 1029 1268 1323 1372 1764 1902 2058 2219 2646 2853 3087 3804 4116 4438 5292 5706 6174 6657 8559 8876 9261 11412 12348 13314 15533 17118 18522 19971 26628 31066 34236 37044 39942 46599 59913 62132 79884 93198 108731 119826 139797 186396 217462 239652 279594 326193 419391 434924 559188 652386 838782 978579 1304772 1677564 1957158 2935737 3914316 5871474 11742948