Search a number
-
+
64081920 = 212357149
BaseRepresentation
bin1111010001110…
…1000000000000
311110120200212110
43310131000000
5112401110140
610205255320
71405454520
oct364350000
9143520773
1064081920
1133199771
1219564540
1310378bc6
148721680
15595c380
hex3d1d000

64081920 has 208 divisors, whose sum is σ = 235900800. Its totient is φ = 14548992.

The previous prime is 64081807. The next prime is 64081937. The reversal of 64081920 is 2918046.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430006 + ... + 430154.

Almost surely, 264081920 is an apocalyptic number.

64081920 is a gapful number since it is divisible by the number (60) 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 64081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117950400).

64081920 is an abundant number, since it is smaller than the sum of its proper divisors (171818880).

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

64081920 is a wasteful number, since it uses less digits than its factorization.

64081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 64081920 is about 8005.1183626477. The cubic root of 64081920 is about 400.1705939006.

Adding to 64081920 its reverse (2918046), we get a palindrome (66999966).

The spelling of 64081920 in words is "sixty-four million, eighty-one thousand, nine hundred twenty".