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210552030 = 2325132109127
BaseRepresentation
bin11001000110011…
…00010011011110
3112200012011002100
430203030103132
5412400131110
632520505530
75134443213
oct1443142336
9480164070
10210552030
11a893a947
125a61b2a6
1334810200
141dd6bb0a
1513740bc0
hexc8cc4de

210552030 has 144 divisors (see below), whose sum is σ = 602933760. Its totient is φ = 50948352.

The previous prime is 210552019. The next prime is 210552071. The reversal of 210552030 is 30255012.

It is a happy number.

210552030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 210551994 and 210552012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1657827 + ... + 1657953.

It is an arithmetic number, because the mean of its divisors is an integer number (4187040).

Almost surely, 2210552030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210552030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301466880).

210552030 is an abundant number, since it is smaller than the sum of its proper divisors (392381730).

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

210552030 is a wasteful number, since it uses less digits than its factorization.

210552030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 210552030 is about 14510.4110899726. The cubic root of 210552030 is about 594.9125686564.

The spelling of 210552030 in words is "two hundred ten million, five hundred fifty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 109 117 127 130 169 195 218 234 254 327 338 381 390 507 545 585 635 654 762 845 981 1014 1090 1143 1170 1270 1417 1521 1635 1651 1690 1905 1962 2286 2535 2834 3042 3270 3302 3810 4251 4905 4953 5070 5715 7085 7605 8255 8502 9810 9906 11430 12753 13843 14170 14859 15210 16510 18421 21255 21463 24765 25506 27686 29718 36842 41529 42510 42926 49530 55263 63765 64389 69215 74295 83058 92105 107315 110526 124587 127530 128778 138430 148590 165789 179959 184210 193167 207645 214630 249174 276315 321945 331578 359918 386334 415290 539877 552630 622935 643890 828945 899795 965835 1079754 1245870 1619631 1657890 1799590 1931670 2339467 2699385 3239262 4678934 5398770 7018401 8098155 11697335 14036802 16196310 21055203 23394670 35092005 42110406 70184010 105276015 210552030