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210969132 = 2231159103263
BaseRepresentation
bin11001001001100…
…10001000101100
3112200222100020120
430210302020230
5413002003012
632533444540
75141131233
oct1444621054
9480870216
10210969132
11a90a5260
125a7a0750
133492800a
1420039b1a
15137c458c
hexc93222c

210969132 has 96 divisors (see below), whose sum is σ = 553512960. Its totient is φ = 61999680.

The previous prime is 210969127. The next prime is 210969163. The reversal of 210969132 is 231969012.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 210969093 and 210969102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802033 + ... + 802295.

It is an arithmetic number, because the mean of its divisors is an integer number (5765760).

Almost surely, 2210969132 is an apocalyptic number.

210969132 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 210969132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276756480).

210969132 is an abundant number, since it is smaller than the sum of its proper divisors (342543828).

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

210969132 is a wasteful number, since it uses less digits than its factorization.

210969132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 210969132 is about 14524.7764870927. The cubic root of 210969132 is about 595.3051486572.

The spelling of 210969132 in words is "two hundred ten million, nine hundred sixty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 103 118 132 177 206 236 263 309 354 412 526 618 649 708 789 1052 1133 1236 1298 1578 1947 2266 2596 2893 3156 3399 3894 4532 5786 6077 6798 7788 8679 11572 12154 13596 15517 17358 18231 24308 27089 31034 34716 36462 46551 54178 62068 66847 72924 81267 93102 108356 133694 162534 170687 186204 200541 267388 297979 325068 341374 401082 512061 595958 682748 802164 893937 1024122 1191916 1598251 1787874 2048244 3196502 3575748 4794753 6393004 9589506 17580761 19179012 35161522 52742283 70323044 105484566 210969132