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67442060 = 22571743659
BaseRepresentation
bin1000000010100…
…01010110001100
311200220102010002
410001101112030
5114231121220
610405303432
71446151040
oct401212614
9150812102
1067442060
1135084244
121a704b78
1310c8445a
148d58020
155dc2c75
hex405158c

67442060 has 96 divisors (see below), whose sum is σ = 175633920. Its totient is φ = 21224448.

The previous prime is 67442059. The next prime is 67442093. The reversal of 67442060 is 6024476.

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, 102011 + ... + 102669.

It is an arithmetic number, because the mean of its divisors is an integer number (1829520).

Almost surely, 267442060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67442060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87816960).

67442060 is an abundant number, since it is smaller than the sum of its proper divisors (108191860).

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

67442060 is a wasteful number, since it uses less digits than its factorization.

67442060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 67442060 is about 8212.3114894651. The cubic root of 67442060 is about 407.0461103576.

The spelling of 67442060 in words is "sixty-seven million, four hundred forty-two thousand, sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 43 68 70 85 86 119 140 170 172 215 238 301 340 430 476 595 602 659 731 860 1190 1204 1318 1462 1505 2380 2636 2924 3010 3295 3655 4613 5117 6020 6590 7310 9226 10234 11203 13180 14620 18452 20468 22406 23065 25585 28337 44812 46130 51170 56015 56674 78421 92260 102340 112030 113348 141685 156842 198359 224060 283370 313684 392105 396718 481729 566740 784210 793436 963458 991795 1568420 1926916 1983590 2408645 3372103 3967180 4817290 6744206 9634580 13488412 16860515 33721030 67442060