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56110040 = 23571953199
BaseRepresentation
bin1101011000001…
…0101111011000
310220120200111122
43112002233120
5103331010130
65322344412
71250633060
oct326025730
9126520448
1056110040
1129744338
121695b108
13b81750c
1476483a0
154dd52e5
hex3582bd8

56110040 has 128 divisors (see below), whose sum is σ = 155520000. Its totient is φ = 17791488.

The previous prime is 56110027. The next prime is 56110069. The reversal of 56110040 is 4001165.

It is a happy number.

56110040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281861 + ... + 282059.

It is an arithmetic number, because the mean of its divisors is an integer number (1215000).

Almost surely, 256110040 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 56110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760000).

56110040 is an abundant number, since it is smaller than the sum of its proper divisors (99409960).

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

56110040 is a wasteful number, since it uses less digits than its factorization.

56110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 56110040 is about 7490.6635220119. The cubic root of 56110040 is about 382.8366665793.

It can be divided in two parts, 561 and 10040, that added together give a palindrome (10601).

The spelling of 56110040 in words is "fifty-six million, one hundred ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 53 56 70 76 95 106 133 140 152 190 199 212 265 266 280 371 380 398 424 530 532 665 742 760 796 995 1007 1060 1064 1330 1393 1484 1592 1855 1990 2014 2120 2660 2786 2968 3710 3781 3980 4028 5035 5320 5572 6965 7049 7420 7562 7960 8056 10070 10547 11144 13930 14098 14840 15124 18905 20140 21094 26467 27860 28196 30248 35245 37810 40280 42188 52735 52934 55720 56392 70490 73829 75620 84376 105470 105868 132335 140980 147658 151240 200393 210940 211736 264670 281960 295316 369145 400786 421880 529340 590632 738290 801572 1001965 1058680 1402751 1476580 1603144 2003930 2805502 2953160 4007860 5611004 7013755 8015720 11222008 14027510 28055020 56110040