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67414080 = 263570223
BaseRepresentation
bin1000000010010…
…10100001000000
311200211222201210
410001022201000
5114224222310
610404530120
71446003336
oct401124100
9150758653
1067414080
1135065218
121a6b0940
1310c747b6
148d4bb56
155db9820
hex404a840

67414080 has 56 divisors (see below), whose sum is σ = 214042752. Its totient is φ = 17976832.

The previous prime is 67414063. The next prime is 67414091. The reversal of 67414080 is 8041476.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34152 + ... + 36071.

It is an arithmetic number, because the mean of its divisors is an integer number (3822192).

Almost surely, 267414080 is an apocalyptic number.

67414080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67414080 is an abundant number, since it is smaller than the sum of its proper divisors (146628672).

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

67414080 is a wasteful number, since it uses less digits than its factorization.

67414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70243 (or 70233 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 67414080 is about 8210.6077728753. The cubic root of 67414080 is about 406.9898115357.

The spelling of 67414080 in words is "sixty-seven million, four hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 70223 140446 210669 280892 351115 421338 561784 702230 842676 1053345 1123568 1404460 1685352 2106690 2247136 2808920 3370704 4213380 4494272 5617840 6741408 8426760 11235680 13482816 16853520 22471360 33707040 67414080