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11297968 = 2411232791
BaseRepresentation
bin101011000110…
…010010110000
3210020222220021
4223012102300
510343013333
61042053224
7165013453
oct53062260
923228807
1011297968
116417370
12394a214
1324575b6
14170149a
15ed282d
hexac64b0

11297968 has 40 divisors (see below), whose sum is σ = 24926976. Its totient is φ = 4910400.

The previous prime is 11297953. The next prime is 11297983. The reversal of 11297968 is 86979211.

It is an interprime number because it is at equal distance from previous prime (11297953) and next prime (11297983).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2653 + ... + 5443.

Almost surely, 211297968 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 11297968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12463488).

11297968 is an abundant number, since it is smaller than the sum of its proper divisors (13629008).

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

11297968 is a wasteful number, since it uses less digits than its factorization.

11297968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2827 counting only the distinct ones).

The product of its digits is 54432, while the sum is 43.

The square root of 11297968 is about 3361.2450074340. The cubic root of 11297968 is about 224.3882509897.

The spelling of 11297968 in words is "eleven million, two hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 2791 4048 5582 11164 22328 30701 44656 61402 64193 122804 128386 245608 256772 491216 513544 706123 1027088 1412246 2824492 5648984 11297968