Search a number
-
+
210121344 = 2733163373
BaseRepresentation
bin11001000011000…
…11001010000000
3112122101021022000
430201203022000
5412242340334
632503344000
75131000446
oct1441431200
9478337260
10210121344
11a8676304
125a452000
13346bc174
141dc98b96
15136a8299
hexc863280

210121344 has 128 divisors (see below), whose sum is σ = 625627200. Its totient is φ = 69424128.

The previous prime is 210121333. The next prime is 210121363. The reversal of 210121344 is 443121012.

210121344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563142 + ... + 563514.

Almost surely, 2210121344 is an apocalyptic number.

210121344 is a gapful number since it is divisible by the number (24) 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 210121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312813600).

210121344 is an abundant number, since it is smaller than the sum of its proper divisors (415505856).

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

210121344 is a wasteful number, since it uses less digits than its factorization.

210121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 210121344 is about 14495.5629073175. The cubic root of 210121344 is about 594.5066588301.

Adding to 210121344 its reverse (443121012), we get a palindrome (653242356).

The spelling of 210121344 in words is "two hundred ten million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 163 192 216 288 326 373 384 432 489 576 652 746 864 978 1119 1152 1304 1467 1492 1728 1956 2238 2608 2934 2984 3357 3456 3912 4401 4476 5216 5868 5968 6714 7824 8802 8952 10071 10432 11736 11936 13428 15648 17604 17904 20142 20864 23472 23872 26856 31296 35208 35808 40284 46944 47744 53712 60799 62592 70416 71616 80568 93888 107424 121598 140832 143232 161136 182397 187776 214848 243196 281664 322272 364794 429696 486392 547191 563328 644544 729588 972784 1094382 1289088 1459176 1641573 1945568 2188764 2918352 3283146 3891136 4377528 5836704 6566292 7782272 8755056 11673408 13132584 17510112 23346816 26265168 35020224 52530336 70040448 105060672 210121344