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542174940 = 2232513122993
BaseRepresentation
bin100000010100001…
…110111011011100
31101210012100012100
4200110032323130
52102244044230
6125444405100
716302260646
oct4024167334
91353170170
10542174940
1125905306a
121316a6790
1388430898
1452013896
15328e9660
hex2050eedc

542174940 has 72 divisors (see below), whose sum is σ = 1657223568. Its totient is φ = 143470080.

The previous prime is 542174911. The next prime is 542174951. The reversal of 542174940 is 49471245.

It is a happy number.

542174940 is a `hidden beast` number, since 542 + 1 + 74 + 9 + 40 = 666.

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 = 542174895 and 542174904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12084 + ... + 35076.

It is an arithmetic number, because the mean of its divisors is an integer number (23016994).

Almost surely, 2542174940 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 542174940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828611784).

542174940 is an abundant number, since it is smaller than the sum of its proper divisors (1115048628).

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

542174940 is a wasteful number, since it uses less digits than its factorization.

542174940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23139 (or 23134 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 542174940 is about 23284.6503087334. The cubic root of 542174940 is about 815.4170974043.

The spelling of 542174940 in words is "five hundred forty-two million, one hundred seventy-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1965 2358 2620 3930 4716 5895 7860 11790 22993 23580 45986 68979 91972 114965 137958 206937 229930 275916 344895 413874 459860 689790 827748 1034685 1379580 2069370 3012083 4138740 6024166 9036249 12048332 15060415 18072498 27108747 30120830 36144996 45181245 54217494 60241660 90362490 108434988 135543735 180724980 271087470 542174940