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11374768 = 2417193171
BaseRepresentation
bin101011011001…
…000010110000
3210101220020201
4223121002300
510402443033
61043444544
7165453406
oct53310260
923356221
1011374768
11646a039
123986754
132483542
141721476
15eea47d
hexad90b0

11374768 has 80 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 4838400.

The previous prime is 11374763. The next prime is 11374771. The reversal of 11374768 is 86747311.

It is not an unprimeable number, because it can be changed into a prime (11374763) 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, 160173 + ... + 160243.

It is an arithmetic number, because the mean of its divisors is an integer number (321408).

Almost surely, 211374768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11374768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

11374768 is an abundant number, since it is smaller than the sum of its proper divisors (14337872).

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

11374768 is a wasteful number, since it uses less digits than its factorization.

11374768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

The square root of 11374768 is about 3372.6499966643. The cubic root of 11374768 is about 224.8955432828.

The spelling of 11374768 in words is "eleven million, three hundred seventy-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 19 31 34 38 62 68 71 76 124 136 142 152 248 272 284 304 323 496 527 568 589 646 1054 1136 1178 1207 1292 1349 2108 2201 2356 2414 2584 2698 4216 4402 4712 4828 5168 5396 8432 8804 9424 9656 10013 10792 17608 19312 20026 21584 22933 35216 37417 40052 41819 45866 74834 80104 83638 91732 149668 160208 167276 183464 299336 334552 366928 598672 669104 710923 1421846 2843692 5687384 11374768