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67190130 = 23257234637
BaseRepresentation
bin1000000000100…
…11110101110010
311200102121112100
410000103311302
5114200041010
610400041230
71444051410
oct400236562
9150377470
1067190130
1134a21a37
121a603216
1310bc6897
148cd02b0
155d732c0
hex4013d72

67190130 has 96 divisors (see below), whose sum is σ = 208376064. Its totient is φ = 14686848.

The previous prime is 67190117. The next prime is 67190131. The reversal of 67190130 is 3109176.

It is a junction number, because it is equal to n+sod(n) for n = 67190094 and 67190103.

It is not an unprimeable number, because it can be changed into a prime (67190131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12172 + ... + 16808.

It is an arithmetic number, because the mean of its divisors is an integer number (2170584).

Almost surely, 267190130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67190130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104188032).

67190130 is an abundant number, since it is smaller than the sum of its proper divisors (141185934).

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

67190130 is a wasteful number, since it uses less digits than its factorization.

67190130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 67190130 is about 8196.9585823036. The cubic root of 67190130 is about 406.5386373227.

The spelling of 67190130 in words is "sixty-seven million, one hundred ninety thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 63 69 70 90 105 115 126 138 161 207 210 230 315 322 345 414 483 630 690 805 966 1035 1449 1610 2070 2415 2898 4637 4830 7245 9274 13911 14490 23185 27822 32459 41733 46370 64918 69555 83466 97377 106651 139110 162295 194754 208665 213302 292131 319953 324590 417330 486885 533255 584262 639906 746557 959859 973770 1066510 1460655 1493114 1599765 1919718 2239671 2921310 3199530 3732785 4479342 4799295 6719013 7465570 9598590 11198355 13438026 22396710 33595065 67190130