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10989252 = 22323143229
BaseRepresentation
bin101001111010…
…111011000100
3202200022102100
4221322323010
510303124002
61031312100
7162256431
oct51727304
922608370
1010989252
11622642a
12381b630
132379c21
141660b88
15e7111c
hexa7aec4

10989252 has 72 divisors (see below), whose sum is σ = 29469440. Its totient is φ = 3447360.

The previous prime is 10989247. The next prime is 10989257. The reversal of 10989252 is 25298901.

It is an interprime number because it is at equal distance from previous prime (10989247) and next prime (10989257).

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10989257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47874 + ... + 48102.

Almost surely, 210989252 is an apocalyptic number.

10989252 is a gapful number since it is divisible by the number (12) 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 10989252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14734720).

10989252 is an abundant number, since it is smaller than the sum of its proper divisors (18480188).

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

10989252 is a wasteful number, since it uses less digits than its factorization.

10989252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 10989252 is about 3315.0040723957. The cubic root of 10989252 is about 222.3255510948.

The spelling of 10989252 in words is "ten million, nine hundred eighty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 62 86 93 124 129 172 186 229 258 279 372 387 458 516 558 687 774 916 1116 1333 1374 1548 2061 2666 2748 3999 4122 5332 7099 7998 8244 9847 11997 14198 15996 19694 21297 23994 28396 29541 39388 42594 47988 59082 63891 85188 88623 118164 127782 177246 255564 305257 354492 610514 915771 1221028 1831542 2747313 3663084 5494626 10989252