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542013720 = 233517215629
BaseRepresentation
bin100000010011100…
…111100100011000
31101202220011001020
4200103213210120
52102223414340
6125441122440
716301016633
oct4023474430
91352804036
10542013720
11258a52a26
12131629420
13883a53a1
1451db0c1a
15328b69d0
hex204e7918

542013720 has 96 divisors (see below), whose sum is σ = 1727427600. Its totient is φ = 136026112.

The previous prime is 542013643. The next prime is 542013739. The reversal of 542013720 is 27310245.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 26866 + ... + 42494.

Almost surely, 2542013720 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 542013720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863713800).

542013720 is an abundant number, since it is smaller than the sum of its proper divisors (1185413880).

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

542013720 is a wasteful number, since it uses less digits than its factorization.

542013720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15677 (or 15656 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 542013720 is about 23281.1881140117. The cubic root of 542013720 is about 815.3362658207.

Adding to 542013720 its reverse (27310245), we get a palindrome (569323965).

The spelling of 542013720 in words is "five hundred forty-two million, thirteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 289 340 408 510 578 680 867 1020 1156 1445 1734 2040 2312 2890 3468 4335 5780 6936 8670 11560 15629 17340 31258 34680 46887 62516 78145 93774 125032 156290 187548 234435 265693 312580 375096 468870 531386 625160 797079 937740 1062772 1328465 1594158 1875480 2125544 2656930 3188316 3985395 4516781 5313860 6376632 7970790 9033562 10627720 13550343 15941580 18067124 22583905 27100686 31883160 36134248 45167810 54201372 67751715 90335620 108402744 135503430 180671240 271006860 542013720