Search a number
-
+
54835320 = 23354310627
BaseRepresentation
bin1101000100101…
…1100001111000
310211011220220210
43101023201320
5103014212240
65235151120
71234043511
oct321134170
9124156823
1054835320
1128a53651
12164454a0
13b48c247
1473d5a08
154c32780
hex344b878

54835320 has 64 divisors (see below), whose sum is σ = 168347520. Its totient is φ = 14281344.

The previous prime is 54835307. The next prime is 54835321. The reversal of 54835320 is 2353845.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54835321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154 + ... + 10473.

It is an arithmetic number, because the mean of its divisors is an integer number (2630430).

Almost surely, 254835320 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 54835320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84173760).

54835320 is an abundant number, since it is smaller than the sum of its proper divisors (113512200).

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

54835320 is a wasteful number, since it uses less digits than its factorization.

54835320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10684 (or 10680 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 54835320 is about 7405.0874404020. The cubic root of 54835320 is about 379.9153089194.

It can be divided in two parts, 54835 and 320, that added together give a palindrome (55155).

The spelling of 54835320 in words is "fifty-four million, eight hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 10627 21254 31881 42508 53135 63762 85016 106270 127524 159405 212540 255048 318810 425080 456961 637620 913922 1275240 1370883 1827844 2284805 2741766 3655688 4569610 5483532 6854415 9139220 10967064 13708830 18278440 27417660 54835320