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11296908 = 2234717293
BaseRepresentation
bin101011000110…
…000010001100
3210020221110000
4223012002030
510343000113
61042044300
7165010410
oct53060214
923227400
1011296908
116416597
123949690
132456c7c
141700d40
15ed2373
hexac608c

11296908 has 120 divisors (see below), whose sum is σ = 35858592. Its totient is φ = 3027456.

The previous prime is 11296903. The next prime is 11296913. The reversal of 11296908 is 80969211.

It is an interprime number because it is at equal distance from previous prime (11296903) and next prime (11296913).

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

It is not an unprimeable number, because it can be changed into a prime (11296903) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38410 + ... + 38702.

Almost surely, 211296908 is an apocalyptic number.

11296908 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 11296908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17929296).

11296908 is an abundant number, since it is smaller than the sum of its proper divisors (24561684).

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

11296908 is a wasteful number, since it uses less digits than its factorization.

11296908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 11296908 is about 3361.0873240664. The cubic root of 11296908 is about 224.3812332385.

It can be divided in two parts, 112 and 96908, that added together give a triangular number (97020 = T440).

The spelling of 11296908 in words is "eleven million, two hundred ninety-six thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 293 306 324 357 378 459 476 567 586 612 714 756 879 918 1071 1134 1172 1377 1428 1758 1836 2051 2142 2268 2637 2754 3213 3516 4102 4284 4981 5274 5508 6153 6426 7911 8204 9639 9962 10548 12306 12852 14943 15822 18459 19278 19924 23733 24612 29886 31644 34867 36918 38556 44829 47466 55377 59772 69734 73836 89658 94932 104601 110754 134487 139468 166131 179316 209202 221508 268974 313803 332262 403461 418404 537948 627606 664524 806922 941409 1255212 1613844 1882818 2824227 3765636 5648454 11296908