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13830288 = 243733947
BaseRepresentation
bin110100110000…
…100010010000
3222000122120220
4310300202100
512020032123
61212233040
7225361353
oct64604220
928018526
1013830288
11789699a
12476b780
132b33104
141ba029a
151332ce3
hexd30890

13830288 has 40 divisors (see below), whose sum is σ = 36226848. Its totient is φ = 4545792.

The previous prime is 13830283. The next prime is 13830319. The reversal of 13830288 is 88203831.

It is not an unprimeable number, because it can be changed into a prime (13830281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1531 + ... + 5477.

Almost surely, 213830288 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 13830288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18113424).

13830288 is an abundant number, since it is smaller than the sum of its proper divisors (22396560).

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

13830288 is a wasteful number, since it uses less digits than its factorization.

13830288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 13830288 is about 3718.9095175871. The cubic root of 13830288 is about 240.0363833730.

The spelling of 13830288 in words is "thirteen million, eight hundred thirty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3504 3947 7894 11841 15788 23682 31576 47364 63152 94728 189456 288131 576262 864393 1152524 1728786 2305048 3457572 4610096 6915144 13830288