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542058240 = 2835141161
BaseRepresentation
bin100000010011110…
…010011100000000
31101202222102010010
4200103302130000
52102231330430
6125442104520
716301263503
oct4023623400
91352872103
10542058240
11258a83419
1213164b140
13883bc729
1451dc313a
15328c4cb0
hex204f2700

542058240 has 72 divisors (see below), whose sum is σ = 1731210768. Its totient is φ = 144547840.

The previous prime is 542058229. The next prime is 542058241. The reversal of 542058240 is 42850245.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 542058198 and 542058207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542058241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66741 + ... + 74420.

It is an arithmetic number, because the mean of its divisors is an integer number (24044594).

Almost surely, 2542058240 is an apocalyptic number.

It is an amenable number.

542058240 is an abundant number, since it is smaller than the sum of its proper divisors (1189152528).

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

542058240 is a wasteful number, since it uses less digits than its factorization.

542058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141185 (or 141171 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 542058240 is about 23282.1442311485. The cubic root of 542058240 is about 815.3585886116.

The spelling of 542058240 in words is "five hundred forty-two million, fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 141161 282322 423483 564644 705805 846966 1129288 1411610 1693932 2117415 2258576 2823220 3387864 4234830 4517152 5646440 6775728 8469660 9034304 11292880 13551456 16939320 18068608 22585760 27102912 33878640 36137216 45171520 54205824 67757280 90343040 108411648 135514560 180686080 271029120 542058240