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531535140 = 2232524112253
BaseRepresentation
bin11111101011101…
…001010100100100
31101001011210010200
4133223221110210
52042033111030
6124424350500
716112655063
oct3753512444
91331153120
10531535140
11253046244
1212a015430
1386176a46
14508441da
15319e6d60
hex1fae9524

531535140 has 72 divisors (see below), whose sum is σ = 1619145528. Its totient is φ = 141143040.

The previous prime is 531535133. The next prime is 531535153. The reversal of 531535140 is 41535135.

It can be written as a sum of positive squares in 4 ways, for example, as 99560484 + 431974656 = 9978^2 + 20784^2 .

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, 37254 + ... + 49506.

Almost surely, 2531535140 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 531535140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809572764).

531535140 is an abundant number, since it is smaller than the sum of its proper divisors (1087610388).

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

531535140 is a wasteful number, since it uses less digits than its factorization.

531535140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12509 (or 12504 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 531535140 is about 23055.0458685295. The cubic root of 531535140 is about 810.0478252512.

The spelling of 531535140 in words is "five hundred thirty-one million, five hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 482 723 964 1205 1446 2169 2410 2892 3615 4338 4820 7230 8676 10845 12253 14460 21690 24506 36759 43380 49012 61265 73518 110277 122530 147036 183795 220554 245060 367590 441108 551385 735180 1102770 2205540 2952973 5905946 8858919 11811892 14764865 17717838 26576757 29529730 35435676 44294595 53153514 59059460 88589190 106307028 132883785 177178380 265767570 531535140