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67307461 = 132616529
BaseRepresentation
bin1000000001100…
…00011111000101
311200122120110221
410000300133011
5114212314321
610402344341
71445050444
oct400603705
9150576427
1067307461
1134aa2101
121a65b0b1
1310c38100
148d20d5b
155d97e41
hex40307c5

67307461 has 12 divisors (see below), whose sum is σ = 74089380. Its totient is φ = 61102080.

The previous prime is 67307441. The next prime is 67307467. The reversal of 67307461 is 16470376.

It can be written as a sum of positive squares in 6 ways, for example, as 43639236 + 23668225 = 6606^2 + 4865^2 .

It is not a de Polignac number, because 67307461 - 213 = 67299269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67307467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7045 + ... + 13573.

It is an arithmetic number, because the mean of its divisors is an integer number (6174115).

Almost surely, 267307461 is an apocalyptic number.

67307461 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

67307461 is a deficient number, since it is larger than the sum of its proper divisors (6781919).

67307461 is a wasteful number, since it uses less digits than its factorization.

67307461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6616 (or 6603 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 67307461 is about 8204.1124443781. The cubic root of 67307461 is about 406.7751395519.

The spelling of 67307461 in words is "sixty-seven million, three hundred seven thousand, four hundred sixty-one".

Divisors: 1 13 61 169 793 6529 10309 84877 398269 1103401 5177497 67307461