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11302720 = 2651113219
BaseRepresentation
bin101011000111…
…011101000000
3210021020102021
4223013131000
510343141340
61042131224
7165033352
oct53073500
923236367
1011302720
11641a9a0
123950b14
132459800
1417030d2
15ed3e4a
hexac7740

11302720 has 168 divisors, whose sum is σ = 33467040. Its totient is φ = 3594240.

The previous prime is 11302717. The next prime is 11302741. The reversal of 11302720 is 2720311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11302694 and 11302703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594871 + ... + 594889.

Almost surely, 211302720 is an apocalyptic number.

11302720 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 11302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16733520).

11302720 is an abundant number, since it is smaller than the sum of its proper divisors (22164320).

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

11302720 is a wasteful number, since it uses less digits than its factorization.

11302720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 11302720 is about 3361.9518140509. The cubic root of 11302720 is about 224.4197063071.

The spelling of 11302720 in words is "eleven million, three hundred two thousand, seven hundred twenty".