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67629030 = 23573071049
BaseRepresentation
bin1000000011111…
…10111111100110
311201020220120220
410001332333212
5114303112110
610413305210
71450560120
oct401767746
9151226526
1067629030
11351a1767
121a795206
131101b5a1
148da6210
155e0d370
hex407efe6

67629030 has 64 divisors (see below), whose sum is σ = 186278400. Its totient is φ = 15393024.

The previous prime is 67629017. The next prime is 67629041. The reversal of 67629030 is 3092676.

It is a junction number, because it is equal to n+sod(n) for n = 67628982 and 67629000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63946 + ... + 64994.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 267629030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67629030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93139200).

67629030 is an abundant number, since it is smaller than the sum of its proper divisors (118649370).

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

67629030 is a wasteful number, since it uses less digits than its factorization.

67629030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 67629030 is about 8223.6871292626. The cubic root of 67629030 is about 407.4219153583.

The spelling of 67629030 in words is "sixty-seven million, six hundred twenty-nine thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 307 614 921 1049 1535 1842 2098 2149 3070 3147 4298 4605 5245 6294 6447 7343 9210 10490 10745 12894 14686 15735 21490 22029 31470 32235 36715 44058 64470 73430 110145 220290 322043 644086 966129 1610215 1932258 2254301 3220430 4508602 4830645 6762903 9661290 11271505 13525806 22543010 33814515 67629030