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542386920 = 2335192310343
BaseRepresentation
bin100000010101000…
…010101011101000
31101210121002222110
4200111002223220
52102322340140
6125453122320
716304132655
oct4025025350
91353532873
10542386920
11259188359
121317893a0
13884a620a
145206ac2c
153293c380
hex20542ae8

542386920 has 128 divisors (see below), whose sum is σ = 1787443200. Its totient is φ = 131053824.

The previous prime is 542386919. The next prime is 542386931. The reversal of 542386920 is 29683245.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47269 + ... + 57611.

It is an arithmetic number, because the mean of its divisors is an integer number (13964400).

Almost surely, 2542386920 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 542386920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893721600).

542386920 is an abundant number, since it is smaller than the sum of its proper divisors (1245056280).

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

542386920 is a wasteful number, since it uses less digits than its factorization.

542386920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10399 (or 10395 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 542386920 is about 23289.2017896707. The cubic root of 542386920 is about 815.5233543712.

The spelling of 542386920 in words is "five hundred forty-two million, three hundred eighty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 228 230 276 285 345 380 437 456 460 552 570 690 760 874 920 1140 1311 1380 1748 2185 2280 2622 2760 3496 4370 5244 6555 8740 10343 10488 13110 17480 20686 26220 31029 41372 51715 52440 62058 82744 103430 124116 155145 196517 206860 237889 248232 310290 393034 413720 475778 589551 620580 713667 786068 951556 982585 1179102 1189445 1241160 1427334 1572136 1903112 1965170 2358204 2378890 2854668 2947755 3568335 3930340 4519891 4716408 4757780 5709336 5895510 7136670 7860680 9039782 9515560 11791020 13559673 14273340 18079564 22599455 23582040 27119346 28546680 36159128 45198910 54238692 67798365 90397820 108477384 135596730 180795640 271193460 542386920