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11374496 = 2571729103
BaseRepresentation
bin101011011000…
…111110100000
3210101212212122
4223120332200
510402440441
61043443412
7165452540
oct53307640
923355778
1011374496
116469911
123986568
132483393
141721320
15eea34b
hexad8fa0

11374496 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 4386816.

The previous prime is 11374469. The next prime is 11374529. The reversal of 11374496 is 69447311.

11374496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110381 + ... + 110483.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 211374496 is an apocalyptic number.

11374496 is a gapful number since it is divisible by the number (16) 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 11374496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

11374496 is an abundant number, since it is smaller than the sum of its proper divisors (16930144).

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

11374496 is a wasteful number, since it uses less digits than its factorization.

11374496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 11374496 is about 3372.6096720492. The cubic root of 11374496 is about 224.8937506580.

The spelling of 11374496 in words is "eleven million, three hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 56 58 68 103 112 116 119 136 203 206 224 232 238 272 406 412 464 476 493 544 721 812 824 928 952 986 1442 1624 1648 1751 1904 1972 2884 2987 3248 3296 3451 3502 3808 3944 5768 5974 6496 6902 7004 7888 11536 11948 12257 13804 14008 15776 20909 23072 23896 24514 27608 28016 41818 47792 49028 50779 55216 56032 83636 95584 98056 101558 110432 167272 196112 203116 334544 355453 392224 406232 669088 710906 812464 1421812 1624928 2843624 5687248 11374496