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11299464 = 23321121297
BaseRepresentation
bin101011000110…
…101010001000
3210021001221200
4223012222020
510343040324
61042104200
7165021021
oct53065210
923231850
1011299464
116418500
12394b060
132458197
141701c48
15ed2ec9
hexac6a88

11299464 has 72 divisors (see below), whose sum is σ = 33663630. Its totient is φ = 3421440.

The previous prime is 11299459. The next prime is 11299489. The reversal of 11299464 is 46499211.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5963364 + 5336100 = 2442^2 + 2310^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8064 + ... + 9360.

Almost surely, 211299464 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 11299464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16831815).

11299464 is an abundant number, since it is smaller than the sum of its proper divisors (22364166).

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

11299464 is a wasteful number, since it uses less digits than its factorization.

11299464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1313 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 11299464 is about 3361.4675366572. The cubic root of 11299464 is about 224.3981545408.

The spelling of 11299464 in words is "eleven million, two hundred ninety-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1297 1452 2178 2594 2904 3891 4356 5188 7782 8712 10376 11673 14267 15564 23346 28534 31128 42801 46692 57068 85602 93384 114136 128403 156937 171204 256806 313874 342408 470811 513612 627748 941622 1027224 1255496 1412433 1883244 2824866 3766488 5649732 11299464