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111097056 = 2537315333
BaseRepresentation
bin1101001111100…
…11010011100000
321202001022111210
412213303103200
5211420101211
615005110120
72516211060
oct647632340
9252038453
10111097056
1157790954
1231258340
131a02a805
1410a7d3a0
159b479a6
hex69f34e0

111097056 has 96 divisors (see below), whose sum is σ = 344107008. Its totient is φ = 30712320.

The previous prime is 111097033. The next prime is 111097067. The reversal of 111097056 is 650790111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 18166 + ... + 23498.

It is an arithmetic number, because the mean of its divisors is an integer number (3584448).

Almost surely, 2111097056 is an apocalyptic number.

111097056 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 111097056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172053504).

111097056 is an abundant number, since it is smaller than the sum of its proper divisors (233009952).

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

111097056 is a wasteful number, since it uses less digits than its factorization.

111097056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 30.

The square root of 111097056 is about 10540.2588203516. The cubic root of 111097056 is about 480.7295849364.

The spelling of 111097056 in words is "one hundred eleven million, ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 5333 6944 10416 10666 15999 20832 21332 31998 37331 42664 63996 74662 85328 111993 127992 149324 165323 170656 223986 255984 298648 330646 447972 495969 511968 597296 661292 895944 991938 1157261 1194592 1322584 1791888 1983876 2314522 2645168 3471783 3583776 3967752 4629044 5290336 6943566 7935504 9258088 13887132 15871008 18516176 27774264 37032352 55548528 111097056