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542684940 = 2235743151199
BaseRepresentation
bin100000010110001…
…011011100001100
31101211011020210020
4200112023130030
52102411404230
6125503342140
716306513560
oct4026133414
91354136706
10542684940
11259371256
121318b1950
138857ba65
14521076a0
153299a810
hex2058b70c

542684940 has 192 divisors, whose sum is σ = 1797734400. Its totient is φ = 119750400.

The previous prime is 542684939. The next prime is 542684941. The reversal of 542684940 is 49486245.

542684940 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (542684939) and next prime (542684941).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 542684892 and 542684901.

It is not an unprimeable number, because it can be changed into a prime (542684941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2726961 + ... + 2727159.

It is an arithmetic number, because the mean of its divisors is an integer number (9363200).

Almost surely, 2542684940 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 542684940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898867200).

542684940 is an abundant number, since it is smaller than the sum of its proper divisors (1255049460).

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

542684940 is a wasteful number, since it uses less digits than its factorization.

542684940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 542684940 is about 23295.5991552053. The cubic root of 542684940 is about 815.6726928850.

The spelling of 542684940 in words is "five hundred forty-two million, six hundred eighty-four thousand, nine hundred forty".