Search a number
-
+
56331960 = 23351931797
BaseRepresentation
bin1101011011100…
…0111010111000
310220222221220220
43112320322320
5103410110320
65331220040
71252546056
oct326707270
9126887826
1056331960
1129886043
1216a47620
13b894529
1476a51d6
154e2ae40
hex35b8eb8

56331960 has 128 divisors (see below), whose sum is σ = 183859200. Its totient is φ = 13754880.

The previous prime is 56331937. The next prime is 56331967. The reversal of 56331960 is 6913365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56331967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70282 + ... + 71078.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 256331960 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 56331960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

56331960 is an abundant number, since it is smaller than the sum of its proper divisors (127527240).

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

56331960 is a wasteful number, since it uses less digits than its factorization.

56331960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 56331960 is about 7505.4620110957. The cubic root of 56331960 is about 383.3407198745.

It can be divided in two parts, 56331 and 960, that added together give a triangular number (57291 = T338).

The spelling of 56331960 in words is "fifty-six million, three hundred thirty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 31 38 40 57 60 62 76 93 95 114 120 124 152 155 186 190 228 248 285 310 372 380 456 465 570 589 620 744 760 797 930 1140 1178 1240 1594 1767 1860 2280 2356 2391 2945 3188 3534 3720 3985 4712 4782 5890 6376 7068 7970 8835 9564 11780 11955 14136 15143 15940 17670 19128 23560 23910 24707 30286 31880 35340 45429 47820 49414 60572 70680 74121 75715 90858 95640 98828 121144 123535 148242 151430 181716 197656 227145 247070 296484 302860 363432 370605 454290 469433 494140 592968 605720 741210 908580 938866 988280 1408299 1482420 1817160 1877732 2347165 2816598 2964840 3755464 4694330 5633196 7041495 9388660 11266392 14082990 18777320 28165980 56331960