Search a number
-
+
531197440 = 2951967163
BaseRepresentation
bin11111101010010…
…110111000000000
31101000112121220021
4133222112320000
52041441304230
6124413223224
716110050404
oct3752267000
91330477807
10531197440
11252935554
12129a91b14
1386089117
1450797104
153197bc7a
hex1fa96e00

531197440 has 160 divisors (see below), whose sum is σ = 1369019520. Its totient is φ = 197074944.

The previous prime is 531197423. The next prime is 531197449. The reversal of 531197440 is 44791135.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 531197396 and 531197405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531197449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3258799 + ... + 3258961.

It is an arithmetic number, because the mean of its divisors is an integer number (8556372).

Almost surely, 2531197440 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 531197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684509760).

531197440 is an abundant number, since it is smaller than the sum of its proper divisors (837822080).

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

531197440 is a wasteful number, since it uses less digits than its factorization.

531197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 531197440 is about 23047.7209285430. The cubic root of 531197440 is about 809.8762397920.

The spelling of 531197440 in words is "five hundred thirty-one million, one hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 67 76 80 95 128 134 152 160 163 190 256 268 304 320 326 335 380 512 536 608 640 652 670 760 815 1072 1216 1273 1280 1304 1340 1520 1630 2144 2432 2546 2560 2608 2680 3040 3097 3260 4288 4864 5092 5216 5360 6080 6194 6365 6520 8576 9728 10184 10432 10720 10921 12160 12388 12730 13040 15485 17152 20368 20864 21440 21842 24320 24776 25460 26080 30970 34304 40736 41728 42880 43684 48640 49552 50920 52160 54605 61940 81472 83456 85760 87368 99104 101840 104320 109210 123880 162944 171520 174736 198208 203680 207499 208640 218420 247760 325888 349472 396416 407360 414998 417280 436840 495520 651776 698944 792832 814720 829996 873680 991040 1037495 1397888 1585664 1629440 1659992 1747360 1982080 2074990 2795776 3258880 3319984 3494720 3964160 4149980 5591552 6639968 6989440 7928320 8299960 13279936 13978880 16599920 26559872 27957760 33199840 53119744 66399680 106239488 132799360 265598720 531197440