Search a number
-
+
542702160 = 2433571113251
BaseRepresentation
bin100000010110001…
…111101001010000
31101211012010102000
4200112033221100
52102412432120
6125503554000
716306615020
oct4026175120
91354163360
10542702160
11259383190
121318bb900
1388586850
145210da80
15329a0990
hex2058fa50

542702160 has 640 divisors, whose sum is σ = 2519838720. Its totient is φ = 103680000.

The previous prime is 542702141. The next prime is 542702179. The reversal of 542702160 is 61207245.

It is an interprime number because it is at equal distance from previous prime (542702141) and next prime (542702179).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2162035 + ... + 2162285.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2542702160 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 542702160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259919360).

542702160 is an abundant number, since it is smaller than the sum of its proper divisors (1977136560).

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

542702160 is a wasteful number, since it uses less digits than its factorization.

542702160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 542702160 is about 23295.9687499790. The cubic root of 542702160 is about 815.6813201960.

The spelling of 542702160 in words is "five hundred forty-two million, seven hundred two thousand, one hundred sixty".