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542001000 = 23353180667
BaseRepresentation
bin100000010011100…
…100011101101000
31101202212111121010
4200103210131220
52102223013000
6125440543520
716300634562
oct4023443550
91352774533
10542001000
11258a44412
12131621ba0
138839c668
1451daa332
15328b2d50
hex204e4768

542001000 has 64 divisors (see below), whose sum is σ = 1691052480. Its totient is φ = 144532800.

The previous prime is 542000999. The next prime is 542001001. The reversal of 542001000 is 100245.

It is an interprime number because it is at equal distance from previous prime (542000999) and next prime (542001001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (542001001) 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, 87334 + ... + 93333.

It is an arithmetic number, because the mean of its divisors is an integer number (26422695).

Almost surely, 2542001000 is an apocalyptic number.

542001000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542001000 is an abundant number, since it is smaller than the sum of its proper divisors (1149051480).

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

542001000 is a wasteful number, since it uses less digits than its factorization.

542001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180691 (or 180677 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 542001000 is about 23280.9149304747. The cubic root of 542001000 is about 815.3298876560.

Adding to 542001000 its reverse (100245), we get a palindrome (542101245).

The spelling of 542001000 in words is "five hundred forty-two million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 180667 361334 542001 722668 903335 1084002 1445336 1806670 2168004 2710005 3613340 4336008 4516675 5420010 7226680 9033350 10840020 13550025 18066700 21680040 22583375 27100050 36133400 45166750 54200100 67750125 90333500 108400200 135500250 180667000 271000500 542001000