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54142320 = 2435433521
BaseRepresentation
bin1100111010001…
…0010101110000
310202212201022010
43032202111300
5102330023240
65212242520
71225126221
oct316422560
9122781263
1054142320
112861aa21
1216170440
13b2a899b
147295248
154b47280
hex33a2570

54142320 has 80 divisors (see below), whose sum is σ = 168551712. Its totient is φ = 14376960.

The previous prime is 54142313. The next prime is 54142339. The reversal of 54142320 is 2324145.

It is a tau number, because it is divible by the number of its divisors (80).

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, 103660 + ... + 104180.

Almost surely, 254142320 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 54142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84275856).

54142320 is an abundant number, since it is smaller than the sum of its proper divisors (114409392).

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

54142320 is a wasteful number, since it uses less digits than its factorization.

54142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 54142320 is about 7358.1465057445. The cubic root of 54142320 is about 378.3080828670.

Adding to 54142320 its reverse (2324145), we get a palindrome (56466465).

The spelling of 54142320 in words is "fifty-four million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 433 521 866 1042 1299 1563 1732 2084 2165 2598 2605 3126 3464 4168 4330 5196 5210 6252 6495 6928 7815 8336 8660 10392 10420 12504 12990 15630 17320 20784 20840 25008 25980 31260 34640 41680 51960 62520 103920 125040 225593 451186 676779 902372 1127965 1353558 1804744 2255930 2707116 3383895 3609488 4511860 5414232 6767790 9023720 10828464 13535580 18047440 27071160 54142320