Search a number
-
+
54533120 = 210510651
BaseRepresentation
bin1101000000000…
…1110000000000
310210121120101012
43100001300000
5102430024440
65224500052
71231344455
oct320016000
9123546335
1054533120
11288675a4
121631a628
13b3b4825
14735782c
154bc2e65
hex3401c00

54533120 has 44 divisors (see below), whose sum is σ = 130827864. Its totient is φ = 21811200.

The previous prime is 54533119. The next prime is 54533179. The reversal of 54533120 is 2133545.

It is a super-2 number, since 2×545331202 = 5947722353868800, which contains 22 as substring.

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, 206 + ... + 10445.

Almost surely, 254533120 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 54533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65413932).

54533120 is an abundant number, since it is smaller than the sum of its proper divisors (76294744).

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

54533120 is a wasteful number, since it uses less digits than its factorization.

54533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10676 (or 10658 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 54533120 is about 7384.6543588715. The cubic root of 54533120 is about 379.2161125925.

Adding to 54533120 its reverse (2133545), we get a palindrome (56666665).

The spelling of 54533120 in words is "fifty-four million, five hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 10651 21302 42604 53255 85208 106510 170416 213020 340832 426040 681664 852080 1363328 1704160 2726656 3408320 5453312 6816640 10906624 13633280 27266560 54533120