Search a number
-
+
29821230 = 2335177389
BaseRepresentation
bin111000111000…
…0100100101110
32002010002001000
41301300210232
530113234410
62543101130
7511322235
oct161604456
962102030
1029821230
111591914a
129ba17a6
1362417ca
143d63b1c
152940dc0
hex1c7092e

29821230 has 128 divisors (see below), whose sum is σ = 86313600. Its totient is φ = 7299072.

The previous prime is 29821189. The next prime is 29821261. The reversal of 29821230 is 3212892.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 29821194 and 29821203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335026 + ... + 335114.

It is an arithmetic number, because the mean of its divisors is an integer number (674325).

Almost surely, 229821230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29821230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43156800).

29821230 is an abundant number, since it is smaller than the sum of its proper divisors (56492370).

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

29821230 is a wasteful number, since it uses less digits than its factorization.

29821230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 29821230 is about 5460.8817969262. The cubic root of 29821230 is about 310.1048206056.

It can be divided in two parts, 298 and 21230, that added together give a triangular number (21528 = T207).

The spelling of 29821230 in words is "twenty-nine million, eight hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 73 85 89 90 102 135 146 153 170 178 219 255 267 270 306 365 438 445 459 510 534 657 730 765 801 890 918 1095 1241 1314 1335 1513 1530 1602 1971 2190 2295 2403 2482 2670 3026 3285 3723 3942 4005 4539 4590 4806 6205 6497 6570 7446 7565 8010 9078 9855 11169 12015 12410 12994 13617 15130 18615 19491 19710 22338 22695 24030 27234 32485 33507 37230 38982 40851 45390 55845 58473 64970 67014 68085 81702 97455 110449 111690 116946 136170 167535 175419 194910 204255 220898 292365 331347 335070 350838 408510 552245 584730 662694 877095 994041 1104490 1656735 1754190 1988082 2982123 3313470 4970205 5964246 9940410 14910615 29821230