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54046720 = 212571329
BaseRepresentation
bin1100111000101…
…1000000000000
310202200212011101
43032023000000
5102313443340
65210224144
71224250420
oct316130000
9122625141
1054046720
1128565112
1216125054
13b274310
14726c480
154b28c9a
hex338b000

54046720 has 208 divisors, whose sum is σ = 165130560. Its totient is φ = 16515072.

The previous prime is 54046709. The next prime is 54046721. The reversal of 54046720 is 2764045.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54046721) 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, 1863666 + ... + 1863694.

Almost surely, 254046720 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 54046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82565280).

54046720 is an abundant number, since it is smaller than the sum of its proper divisors (111083840).

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

54046720 is a wasteful number, since it uses less digits than its factorization.

54046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 54046720 is about 7351.6474344190. The cubic root of 54046720 is about 378.0852900493.

The spelling of 54046720 in words is "fifty-four million, forty-six thousand, seven hundred twenty".