Search a number
-
+
67740608 = 261326263
BaseRepresentation
bin1000000100110…
…10001111000000
311201110120122102
410002122033000
5114320144413
610415525532
71451533325
oct402321700
9151416572
1067740608
1135268581
121a8298a8
131105a300
148dd4b4c
155e31458
hex409a3c0

67740608 has 42 divisors (see below), whose sum is σ = 145581624. Its totient is φ = 31259904.

The previous prime is 67740601. The next prime is 67740613. The reversal of 67740608 is 80604776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67740601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7685 + ... + 13947.

Almost surely, 267740608 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 67740608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72790812).

67740608 is an abundant number, since it is smaller than the sum of its proper divisors (77841016).

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

67740608 is a wasteful number, since it uses less digits than its factorization.

67740608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6301 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 67740608 is about 8230.4682734338. The cubic root of 67740608 is about 407.6458544219.

The spelling of 67740608 in words is "sixty-seven million, seven hundred forty thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 6263 10816 12526 25052 50104 81419 100208 162838 200416 325676 400832 651352 1058447 1302704 2116894 2605408 4233788 5210816 8467576 16935152 33870304 67740608