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67419540 = 2234541617
BaseRepresentation
bin1000000010010…
…11110110010100
311200212021020000
410001023312110
5114224411130
610405011300
71446025266
oct401136624
9150767200
1067419540
1135069331
121a6b3b30
1310c77126
148d4db36
155dbb260
hex404bd94

67419540 has 60 divisors (see below), whose sum is σ = 211502676. Its totient is φ = 17978112.

The previous prime is 67419503. The next prime is 67419553. The reversal of 67419540 is 4591476.

It can be written as a sum of positive squares in 2 ways, for example, as 53670276 + 13749264 = 7326^2 + 3708^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67419495 and 67419504.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 19189 + ... + 22428.

Almost surely, 267419540 is an apocalyptic number.

67419540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67419540 is an abundant number, since it is smaller than the sum of its proper divisors (144083136).

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

67419540 is a wasteful number, since it uses less digits than its factorization.

67419540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41638 (or 41627 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 67419540 is about 8210.9402628444. The cubic root of 67419540 is about 407.0007988764. Note that the first 3 decimals are identical.

The spelling of 67419540 in words is "sixty-seven million, four hundred nineteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 41617 83234 124851 166468 208085 249702 374553 416170 499404 624255 749106 832340 1123659 1248510 1498212 1872765 2247318 2497020 3370977 3745530 4494636 5618295 6741954 7491060 11236590 13483908 16854885 22473180 33709770 67419540