Search a number
-
+
210483392 = 2671729953
BaseRepresentation
bin11001000101110…
…11100011000000
3112200001122221012
430202323203000
5412340432032
632515220052
75134036130
oct1442734300
9480048835
10210483392
11a88a3319
125a5a7628
13347b7bb2
141dd50ac0
151372a6b2
hexc8bb8c0

210483392 has 112 divisors (see below), whose sum is σ = 523402560. Its totient is φ = 81887232.

The previous prime is 210483319. The next prime is 210483431. The reversal of 210483392 is 293384012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 220388 + ... + 221340.

Almost surely, 2210483392 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 210483392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261701280).

210483392 is an abundant number, since it is smaller than the sum of its proper divisors (312919168).

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

210483392 is a wasteful number, since it uses less digits than its factorization.

210483392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 210483392 is about 14508.0457677800. The cubic root of 210483392 is about 594.8479163124.

The spelling of 210483392 in words is "two hundred ten million, four hundred eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 56 58 64 68 112 116 119 136 203 224 232 238 272 406 448 464 476 493 544 812 928 952 953 986 1088 1624 1856 1904 1906 1972 3248 3451 3808 3812 3944 6496 6671 6902 7616 7624 7888 12992 13342 13804 15248 15776 16201 26684 27608 27637 30496 31552 32402 53368 55216 55274 60992 64804 106736 110432 110548 113407 129608 193459 213472 220864 221096 226814 259216 386918 426944 442192 453628 469829 518432 773836 884384 907256 939658 1036864 1547672 1768768 1814512 1879316 3095344 3288803 3629024 3758632 6190688 6577606 7258048 7517264 12381376 13155212 15034528 26310424 30069056 52620848 105241696 210483392