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11297000 = 2353111379
BaseRepresentation
bin101011000110…
…000011101000
3210020221120102
4223012003220
510343001000
61042044532
7165010601
oct53060350
923227512
1011297000
116416670
123949748
132457020
141700da8
15ed23d5
hexac60e8

11297000 has 128 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 3744000.

The previous prime is 11296991. The next prime is 11297009. The reversal of 11297000 is 79211.

It is an interprime number because it is at equal distance from previous prime (11296991) and next prime (11297009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11297009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142961 + ... + 143039.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 211297000 is an apocalyptic number.

11297000 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 11297000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

11297000 is an abundant number, since it is smaller than the sum of its proper divisors (20152600).

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

11297000 is a wasteful number, since it uses less digits than its factorization.

11297000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 11297000 is about 3361.1010100858. The cubic root of 11297000 is about 224.3818423438.

The spelling of 11297000 in words is "eleven million, two hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 79 88 100 104 110 125 130 143 158 200 220 250 260 275 286 316 325 395 440 500 520 550 572 632 650 715 790 869 1000 1027 1100 1144 1300 1375 1430 1580 1625 1738 1975 2054 2200 2600 2750 2860 3160 3250 3476 3575 3950 4108 4345 5135 5500 5720 6500 6952 7150 7900 8216 8690 9875 10270 11000 11297 13000 14300 15800 17380 17875 19750 20540 21725 22594 25675 28600 34760 35750 39500 41080 43450 45188 51350 56485 71500 79000 86900 90376 102700 108625 112970 128375 143000 173800 205400 217250 225940 256750 282425 434500 451880 513500 564850 869000 1027000 1129700 1412125 2259400 2824250 5648500 11297000