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54594540 = 2233571113101
BaseRepresentation
bin1101000001000…
…0101111101100
310210201200122000
43100100233230
5102434011130
65230052300
71232021520
oct320205754
9123650560
1054594540
11288a9760
121634a090
13b406780
147371d80
154bd6260
hex3410bec

54594540 has 384 divisors, whose sum is σ = 230307840. Its totient is φ = 10368000.

The previous prime is 54594539. The next prime is 54594541. The reversal of 54594540 is 4549545.

It is an interprime number because it is at equal distance from previous prime (54594539) and next prime (54594541).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54594495 and 54594504.

It is not an unprimeable number, because it can be changed into a prime (54594541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 540490 + ... + 540590.

It is an arithmetic number, because the mean of its divisors is an integer number (599760).

Almost surely, 254594540 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 54594540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153920).

54594540 is an abundant number, since it is smaller than the sum of its proper divisors (175713300).

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

54594540 is a wasteful number, since it uses less digits than its factorization.

54594540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 54594540 is about 7388.8118124635. The cubic root of 54594540 is about 379.3584280320.

It can be divided in two parts, 5459 and 4540, that added together give a palindrome (9999).

The spelling of 54594540 in words is "fifty-four million, five hundred ninety-four thousand, five hundred forty".