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67442240 = 265419503
BaseRepresentation
bin1000000010100…
…01011001000000
311200220102100202
410001101121000
5114231122430
610405304332
71446151415
oct401213100
9150812322
1067442240
1135084398
121a7050a8
1310c84568
148d5810c
155dc2d45
hex4051640

67442240 has 56 divisors (see below), whose sum is σ = 161300160. Its totient is φ = 26859008.

The previous prime is 67442239. The next prime is 67442293. The reversal of 67442240 is 4224476.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133829 + ... + 134331.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 267442240 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 67442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80650080).

67442240 is an abundant number, since it is smaller than the sum of its proper divisors (93857920).

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

67442240 is a wasteful number, since it uses less digits than its factorization.

67442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 67442240 is about 8212.3224486134. The cubic root of 67442240 is about 407.0464724868.

The spelling of 67442240 in words is "sixty-seven million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 419 503 838 1006 1676 2012 2095 2515 3352 4024 4190 5030 6704 8048 8380 10060 13408 16096 16760 20120 26816 32192 33520 40240 67040 80480 134080 160960 210757 421514 843028 1053785 1686056 2107570 3372112 4215140 6744224 8430280 13488448 16860560 33721120 67442240