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56001330 = 23257118081
BaseRepresentation
bin1101010110100…
…0001100110010
310220101011101100
43111220030302
5103314020310
65320145230
71250001120
oct325501462
9126334340
1056001330
112967a6a0
1216908216
13b7a9ba8
14761a910
154db2ec0
hex3568332

56001330 has 96 divisors (see below), whose sum is σ = 181554048. Its totient is φ = 11635200.

The previous prime is 56001329. The next prime is 56001359. The reversal of 56001330 is 3310065.

It is a super-2 number, since 2×560013302 = 6272297923537800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2890 + ... + 10970.

It is an arithmetic number, because the mean of its divisors is an integer number (1891188).

Almost surely, 256001330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90777024).

56001330 is an abundant number, since it is smaller than the sum of its proper divisors (125552718).

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

56001330 is a wasteful number, since it uses less digits than its factorization.

56001330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8112 (or 8109 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 56001330 is about 7483.4036373832. The cubic root of 56001330 is about 382.5892653382.

Adding to 56001330 its reverse (3310065), we get a palindrome (59311395).

The spelling of 56001330 in words is "fifty-six million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 8081 16162 24243 40405 48486 56567 72729 80810 88891 113134 121215 145458 169701 177782 242430 266673 282835 339402 363645 444455 509103 533346 565670 622237 727290 800019 848505 888910 1018206 1244474 1333365 1600038 1697010 1866711 2545515 2666730 3111185 3733422 4000095 5091030 5600133 6222370 8000190 9333555 11200266 18667110 28000665 56001330