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531254130 = 235112314721
BaseRepresentation
bin11111101010100…
…100101101110010
31101000122111122220
4133222210231302
52042000113010
6124414341510
716110404601
oct3752445562
91330574586
10531254130
11252974100
12129aba896
13860a8b74
14507ada38
153198d970
hex1faa4b72

531254130 has 96 divisors (see below), whose sum is σ = 1446971904. Its totient is φ = 124608000.

The previous prime is 531254111. The next prime is 531254137. The reversal of 531254130 is 31452135.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 531254130.

It is not an unprimeable number, because it can be changed into a prime (531254137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110170 + ... + 114890.

It is an arithmetic number, because the mean of its divisors is an integer number (15072624).

Almost surely, 2531254130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531254130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723485952).

531254130 is an abundant number, since it is smaller than the sum of its proper divisors (915717774).

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

531254130 is a wasteful number, since it uses less digits than its factorization.

531254130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 531254130 is about 23048.9507353372. The cubic root of 531254130 is about 809.9050490742.

The spelling of 531254130 in words is "five hundred thirty-one million, two hundred fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 121 155 165 186 242 310 330 341 363 465 605 682 726 930 1023 1210 1705 1815 2046 3410 3630 3751 4721 5115 7502 9442 10230 11253 14163 18755 22506 23605 28326 37510 47210 51931 56265 70815 103862 112530 141630 146351 155793 259655 292702 311586 439053 519310 571241 731755 778965 878106 1142482 1463510 1557930 1609861 1713723 2195265 2856205 3219722 3427446 4390530 4829583 5712410 8049305 8568615 9659166 16098610 17137230 17708471 24147915 35416942 48295830 53125413 88542355 106250826 177084710 265627065 531254130