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11296980 = 2232562761
BaseRepresentation
bin101011000110…
…000011010100
3210020221112200
4223012003110
510343000410
61042044500
7165010542
oct53060324
923227480
1011296980
116416652
123949730
132457006
141700d92
15ed23c0
hexac60d4

11296980 has 36 divisors (see below), whose sum is σ = 34268052. Its totient is φ = 3012480.

The previous prime is 11296973. The next prime is 11296991. The reversal of 11296980 is 8969211.

It can be written as a sum of positive squares in 2 ways, for example, as 2547216 + 8749764 = 1596^2 + 2958^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31201 + ... + 31560.

Almost surely, 211296980 is an apocalyptic number.

11296980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11296980 is an abundant number, since it is smaller than the sum of its proper divisors (22971072).

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

11296980 is a wasteful number, since it uses less digits than its factorization.

11296980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62776 (or 62771 counting only the distinct ones).

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

The square root of 11296980 is about 3361.0980348690. The cubic root of 11296980 is about 224.3817099299.

The spelling of 11296980 in words is "eleven million, two hundred ninety-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 62761 125522 188283 251044 313805 376566 564849 627610 753132 941415 1129698 1255220 1882830 2259396 2824245 3765660 5648490 11296980