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542015040 = 2635780657
BaseRepresentation
bin100000010011100…
…111111001000000
31101202220012212010
4200103213321000
52102223440130
6125441132520
716301023530
oct4023477100
91352805763
10542015040
11258a53a16
1213162a140
13883a5b78
1451db14c0
15328b70b0
hex204e7e40

542015040 has 112 divisors (see below), whose sum is σ = 1966764672. Its totient is φ = 123887616.

The previous prime is 542014997. The next prime is 542015057. The reversal of 542015040 is 40510245.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 542014998 and 542015016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33609 + ... + 47048.

Almost surely, 2542015040 is an apocalyptic number.

It is an amenable number.

542015040 is an abundant number, since it is smaller than the sum of its proper divisors (1424749632).

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

542015040 is a wasteful number, since it uses less digits than its factorization.

542015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80684 (or 80674 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 542015040 is about 23281.2164630631. The cubic root of 542015040 is about 815.3369277000.

Adding to 542015040 its reverse (40510245), we get a palindrome (582525285).

The spelling of 542015040 in words is "five hundred forty-two million, fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 80657 161314 241971 322628 403285 483942 564599 645256 806570 967884 1129198 1209855 1290512 1613140 1693797 1935768 2258396 2419710 2581024 2822995 3226280 3387594 3871536 4516792 4839420 5162048 5645990 6452560 6775188 7743072 8468985 9033584 9678840 11291980 12905120 13550376 15486144 16937970 18067168 19357680 22583960 25810240 27100752 33875940 36134336 38715360 45167920 54201504 67751880 77430720 90335840 108403008 135503760 180671680 271007520 542015040