Search a number
-
+
65144376 = 23321183991
BaseRepresentation
bin1111100010000…
…0011000111000
311112120200021200
43320200120320
5113134110001
610244134200
71420501203
oct370403070
9145520250
1065144376
1133854a30
1219997360
131065b68b
14891a93a
155abc086
hex3e20638

65144376 has 96 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 19483200.

The previous prime is 65144363. The next prime is 65144399. The reversal of 65144376 is 67344156.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 65144376.

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 23 ways as a sum of consecutive naturals, for example, 65241 + ... + 66231.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 265144376 is an apocalyptic number.

65144376 is a gapful number since it is divisible by the number (66) 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 65144376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

65144376 is an abundant number, since it is smaller than the sum of its proper divisors (129843144).

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

65144376 is a wasteful number, since it uses less digits than its factorization.

65144376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1090 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 65144376 is about 8071.2066012462. The cubic root of 65144376 is about 402.3700461349.

It can be divided in two parts, 65 and 144376, that added together give a palindrome (144441).

The spelling of 65144376 in words is "sixty-five million, one hundred forty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 83 88 99 132 166 198 249 264 332 396 498 664 747 792 913 991 996 1494 1826 1982 1992 2739 2973 2988 3652 3964 5478 5946 5976 7304 7928 8217 8919 10901 10956 11892 16434 17838 21802 21912 23784 32703 32868 35676 43604 65406 65736 71352 82253 87208 98109 130812 164506 196218 246759 261624 329012 392436 493518 658024 740277 784872 904783 987036 1480554 1809566 1974072 2714349 2961108 3619132 5428698 5922216 7238264 8143047 10857396 16286094 21714792 32572188 65144376