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54162340 = 22517241661
BaseRepresentation
bin1100111010011…
…1001110100100
310202220201202121
43032213032210
5102331143330
65212515324
71225241461
oct316471644
9122821677
1054162340
1128633a71
121617bb44
13b2b4b2b
14729c668
154b4d17a
hex33a73a4

54162340 has 48 divisors (see below), whose sum is σ = 121114224. Its totient is φ = 20275200.

The previous prime is 54162319. The next prime is 54162347. The reversal of 54162340 is 4326145.

54162340 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 8 ways, for example, as 6937956 + 47224384 = 2634^2 + 6872^2 .

It is not an unprimeable number, because it can be changed into a prime (54162347) 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, 81610 + ... + 82270.

It is an arithmetic number, because the mean of its divisors is an integer number (2523213).

Almost surely, 254162340 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 54162340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60557112).

54162340 is an abundant number, since it is smaller than the sum of its proper divisors (66951884).

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

54162340 is a wasteful number, since it uses less digits than its factorization.

54162340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 54162340 is about 7359.5067769518. The cubic root of 54162340 is about 378.3547056352.

Adding to 54162340 its reverse (4326145), we get a palindrome (58488485).

The spelling of 54162340 in words is "fifty-four million, one hundred sixty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 241 340 482 661 964 1205 1322 2410 2644 3305 4097 4820 6610 8194 11237 13220 16388 20485 22474 40970 44948 56185 81940 112370 159301 224740 318602 637204 796505 1593010 2708117 3186020 5416234 10832468 13540585 27081170 54162340