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210489312 = 25311474241
BaseRepresentation
bin11001000101111…
…00111111100000
3112200001222001110
430202330333200
5412341124222
632515303320
75134062315
oct1442747740
9480058043
10210489312
11a88a7810
125a5aab40
13347ba7b7
141dd52d0c
151372c30c
hexc8bcfe0

210489312 has 96 divisors (see below), whose sum is σ = 615734784. Its totient is φ = 62412800.

The previous prime is 210489299. The next prime is 210489317. The reversal of 210489312 is 213984012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 210489312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210489317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47512 + ... + 51752.

It is an arithmetic number, because the mean of its divisors is an integer number (6413904).

Almost surely, 2210489312 is an apocalyptic number.

210489312 is a gapful number since it is divisible by the number (22) 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 210489312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307867392).

210489312 is an abundant number, since it is smaller than the sum of its proper divisors (405245472).

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

210489312 is a wasteful number, since it uses less digits than its factorization.

210489312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 210489312 is about 14508.2497910671. The cubic root of 210489312 is about 594.8534931049.

The spelling of 210489312 in words is "two hundred ten million, four hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 132 141 176 188 264 282 352 376 517 528 564 752 1034 1056 1128 1504 1551 2068 2256 3102 4136 4241 4512 6204 8272 8482 12408 12723 16544 16964 24816 25446 33928 46651 49632 50892 67856 93302 101784 135712 139953 186604 199327 203568 279906 373208 398654 407136 559812 597981 746416 797308 1119624 1195962 1492832 1594616 2192597 2239248 2391924 3189232 4385194 4478496 4783848 6378464 6577791 8770388 9567696 13155582 17540776 19135392 26311164 35081552 52622328 70163104 105244656 210489312