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542154240 = 2932523531
BaseRepresentation
bin100000010100001…
…001111000000000
31101210011021210200
4200110021320000
52102242413430
6125444125200
716302143415
oct4024117000
91353137720
10542154240
11259039561
12131696800
1388424334
145200a10c
15328e3460
hex20509e00

542154240 has 120 divisors (see below), whose sum is σ = 1877712408. Its totient is φ = 144568320.

The previous prime is 542154233. The next prime is 542154241. The reversal of 542154240 is 42451245.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542154241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11275 + ... + 34805.

Almost surely, 2542154240 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 542154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938856204).

542154240 is an abundant number, since it is smaller than the sum of its proper divisors (1335558168).

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

542154240 is a wasteful number, since it uses less digits than its factorization.

542154240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23560 (or 23541 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 542154240 is about 23284.2058056529. The cubic root of 542154240 is about 815.4067198506.

The spelling of 542154240 in words is "five hundred forty-two million, one hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 23531 47062 70593 94124 117655 141186 188248 211779 235310 282372 352965 376496 423558 470620 564744 705930 752992 847116 941240 1058895 1129488 1411860 1505984 1694232 1882480 2117790 2258976 2823720 3011968 3388464 3764960 4235580 4517952 5647440 6023936 6776928 7529920 8471160 9035904 11294880 12047872 13553856 15059840 16942320 18071808 22589760 27107712 30119680 33884640 36143616 45179520 54215424 60239360 67769280 90359040 108430848 135538560 180718080 271077120 542154240