Search a number
-
+
68979584 = 271393877
BaseRepresentation
bin1000001110010…
…00101110000000
311210210112012102
410013020232000
5120124321314
610502245532
71465213442
oct407105600
9153715172
1068979584
1135a34423
121b1268a8
13113a222b
149238492
1560c85de
hex41c8b80

68979584 has 32 divisors (see below), whose sum is σ = 138444600. Its totient is φ = 34232832.

The previous prime is 68979541. The next prime is 68979613. The reversal of 68979584 is 48597986.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15854 + ... + 19730.

Almost surely, 268979584 is an apocalyptic number.

68979584 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68979584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69222300).

68979584 is an abundant number, since it is smaller than the sum of its proper divisors (69465016).

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

68979584 is a wasteful number, since it uses less digits than its factorization.

68979584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4018 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 56.

The square root of 68979584 is about 8305.3948732134. The cubic root of 68979584 is about 410.1161360474.

The spelling of 68979584 in words is "sixty-eight million, nine hundred seventy-nine thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 139 278 556 1112 2224 3877 4448 7754 8896 15508 17792 31016 62032 124064 248128 496256 538903 1077806 2155612 4311224 8622448 17244896 34489792 68979584