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531042000 = 24353671321
BaseRepresentation
bin11111101001110…
…000111011010000
31101000020201200020
4133221300323100
52041421321000
6124410023440
716105532256
oct3751607320
91330221606
10531042000
11252839795
12129a17b80
1386033448
14507565d6
153194aba0
hex1fa70ed0

531042000 has 160 divisors (see below), whose sum is σ = 1738948224. Its totient is φ = 139392000.

The previous prime is 531041993. The next prime is 531042013. The reversal of 531042000 is 240135.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401340 + ... + 402660.

Almost surely, 2531042000 is an apocalyptic number.

531042000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869474112).

531042000 is an abundant number, since it is smaller than the sum of its proper divisors (1207906224).

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

531042000 is a wasteful number, since it uses less digits than its factorization.

531042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 531042000 is about 23044.3485479629. The cubic root of 531042000 is about 809.7972362462.

Adding to 531042000 its reverse (240135), we get a palindrome (531282135).

The spelling of 531042000 in words is "five hundred thirty-one million, forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 67 75 80 100 120 125 134 150 200 201 240 250 268 300 335 375 400 402 500 536 600 670 750 804 1000 1005 1072 1200 1321 1340 1500 1608 1675 2000 2010 2642 2680 3000 3216 3350 3963 4020 5025 5284 5360 6000 6605 6700 7926 8040 8375 10050 10568 13210 13400 15852 16080 16750 19815 20100 21136 25125 26420 26800 31704 33025 33500 39630 40200 50250 52840 63408 66050 67000 79260 80400 88507 99075 100500 105680 132100 134000 158520 165125 177014 198150 201000 264200 265521 317040 330250 354028 396300 402000 442535 495375 528400 531042 660500 708056 792600 885070 990750 1062084 1321000 1327605 1416112 1585200 1770140 1981500 2124168 2212675 2642000 2655210 3540280 3963000 4248336 4425350 5310420 6638025 7080560 7926000 8850700 10620840 11063375 13276050 17701400 21241680 22126750 26552100 33190125 35402800 44253500 53104200 66380250 88507000 106208400 132760500 177014000 265521000 531042000