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67950090 = 237513239
BaseRepresentation
bin1000000110011…
…01011000001010
311201212020000000
410003031120022
5114343400330
610424223430
71453365135
oct403153012
9151766000
1067950090
11353a09aa
121a90ab76
1311101770
14904b21c
155e73560
hex40cd60a

67950090 has 128 divisors (see below), whose sum is σ = 198374400. Its totient is φ = 16656192.

The previous prime is 67950083. The next prime is 67950121. The reversal of 67950090 is 9005976.

67950090 is a `hidden beast` number, since 67 + 9 + 500 + 90 = 666.

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, 284191 + ... + 284429.

It is an arithmetic number, because the mean of its divisors is an integer number (1549800).

Almost surely, 267950090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67950090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99187200).

67950090 is an abundant number, since it is smaller than the sum of its proper divisors (130424310).

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

67950090 is a wasteful number, since it uses less digits than its factorization.

67950090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 67950090 is about 8243.1844574776. The cubic root of 67950090 is about 408.0656252570.

The spelling of 67950090 in words is "sixty-seven million, nine hundred fifty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 239 243 270 351 390 405 478 486 585 702 717 729 810 1053 1170 1195 1215 1434 1458 1755 2106 2151 2187 2390 2430 3107 3159 3510 3585 3645 4302 4374 5265 6214 6318 6453 7170 7290 9321 9477 10530 10755 10935 12906 15535 15795 18642 18954 19359 21510 21870 27963 28431 31070 31590 32265 38718 46605 47385 55926 56862 58077 64530 83889 93210 94770 96795 116154 139815 142155 167778 174231 193590 251667 279630 284310 290385 348462 419445 503334 522693 580770 755001 838890 871155 1045386 1258335 1510002 1742310 2265003 2516670 2613465 3775005 4530006 5226930 6795009 7550010 11325015 13590018 22650030 33975045 67950090