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67472820 = 22325374849
BaseRepresentation
bin1000000010110…
…00110110110100
311200221222022100
410001120312310
5114233112240
610410102100
71446336522
oct401306664
9150858270
1067472820
11350a5368
121a71a930
1310c9545c
148d65312
155dcbe30
hex4058db4

67472820 has 36 divisors (see below), whose sum is σ = 204668100. Its totient is φ = 17992704.

The previous prime is 67472761. The next prime is 67472831. The reversal of 67472820 is 2827476.

It can be written as a sum of positive squares in 2 ways, for example, as 46294416 + 21178404 = 6804^2 + 4602^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 11 ways as a sum of consecutive naturals, for example, 187245 + ... + 187604.

It is an arithmetic number, because the mean of its divisors is an integer number (5685225).

Almost surely, 267472820 is an apocalyptic number.

67472820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67472820 is an abundant number, since it is smaller than the sum of its proper divisors (137195280).

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

67472820 is a wasteful number, since it uses less digits than its factorization.

67472820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374864 (or 374859 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 67472820 is about 8214.1840739053. The cubic root of 67472820 is about 407.1079848776.

The spelling of 67472820 in words is "sixty-seven million, four hundred seventy-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 374849 749698 1124547 1499396 1874245 2249094 3373641 3748490 4498188 5622735 6747282 7496980 11245470 13494564 16868205 22490940 33736410 67472820