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542390100 = 2235271715193
BaseRepresentation
bin100000010101000…
…011011101010100
31101210121021100020
4200111003131110
52102322440400
6125453145140
716304145150
oct4025033524
91353537306
10542390100
1125918a78a
1213178b1b0
13884a77b5
145206c060
153293d2a0
hex20543754

542390100 has 144 divisors (see below), whose sum is σ = 1899128448. Its totient is φ = 116674560.

The previous prime is 542390081. The next prime is 542390129. The reversal of 542390100 is 1093245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28104 + ... + 43296.

It is an arithmetic number, because the mean of its divisors is an integer number (13188392).

Almost surely, 2542390100 is an apocalyptic number.

542390100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542390100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949564224).

542390100 is an abundant number, since it is smaller than the sum of its proper divisors (1356738348).

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

542390100 is a wasteful number, since it uses less digits than its factorization.

542390100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15234 (or 15227 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 542390100 is about 23289.2700615541. The cubic root of 542390100 is about 815.5249481653.

The spelling of 542390100 in words is "five hundred forty-two million, three hundred ninety thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1275 1428 1700 1785 2100 2380 2550 2975 3570 5100 5950 7140 8925 11900 15193 17850 30386 35700 45579 60772 75965 91158 106351 151930 182316 212702 227895 258281 303860 319053 379825 425404 455790 516562 531755 638106 759650 774843 911580 1033124 1063510 1139475 1276212 1291405 1519300 1549686 1595265 1807967 2127020 2278950 2582810 2658775 3099372 3190530 3615934 3874215 4557900 5165620 5317550 5423901 6381060 6457025 7231868 7748430 7976325 9039835 10635100 10847802 12914050 15496860 15952650 18079670 19371075 21695604 25828100 27119505 31905300 36159340 38742150 45199175 54239010 77484300 90398350 108478020 135597525 180796700 271195050 542390100