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56127330 = 2345719521
BaseRepresentation
bin1101011000011…
…0111101100010
310220121120020000
43112012331202
5103332033310
65323000430
71251034350
oct326067542
9126546200
1056127330
1129756326
1216969116
13b82234c
1476507d0
154dda4c0
hex3586f62

56127330 has 160 divisors (see below), whose sum is σ = 181906560. Its totient is φ = 12130560.

The previous prime is 56127317. The next prime is 56127347. The reversal of 56127330 is 3372165.

It is a happy number.

56127330 is a `hidden beast` number, since 561 + 2 + 73 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 56127294 and 56127303.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107470 + ... + 107990.

It is an arithmetic number, because the mean of its divisors is an integer number (1136916).

Almost surely, 256127330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56127330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90953280).

56127330 is an abundant number, since it is smaller than the sum of its proper divisors (125779230).

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

56127330 is a wasteful number, since it uses less digits than its factorization.

56127330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 56127330 is about 7491.8175364861. The cubic root of 56127330 is about 382.8759855448.

Adding to 56127330 its reverse (3372165), we get a palindrome (59499495).

The spelling of 56127330 in words is "fifty-six million, one hundred twenty-seven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 81 90 95 105 114 126 133 135 162 171 189 190 210 266 270 285 315 342 378 399 405 513 521 567 570 630 665 798 810 855 945 1026 1042 1134 1197 1330 1539 1563 1710 1890 1995 2394 2565 2605 2835 3078 3126 3591 3647 3990 4689 5130 5210 5670 5985 7182 7294 7695 7815 9378 9899 10773 10941 11970 14067 15390 15630 17955 18235 19798 21546 21882 23445 28134 29697 32823 35910 36470 42201 46890 49495 53865 54705 59394 65646 69293 70335 84402 89091 98469 98990 107730 109410 138586 140670 148485 164115 178182 196938 207879 211005 267273 295407 296970 328230 346465 415758 422010 445455 492345 534546 590814 623637 692930 801819 890910 984690 1039395 1247274 1336365 1477035 1603638 1870911 2078790 2672730 2954070 3118185 3741822 4009095 5612733 6236370 8018190 9354555 11225466 18709110 28063665 56127330