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56835240 = 23357116151
BaseRepresentation
bin1101100011001…
…1110010101000
310221221112021220
43120303302220
5104022211430
65350102040
71260043260
oct330636250
9127845256
1056835240
112a09a180
121704a920
13ba0c627
1477967a0
154eca110
hex3633ca8

56835240 has 128 divisors (see below), whose sum is σ = 212613120. Its totient is φ = 11808000.

The previous prime is 56835227. The next prime is 56835253. The reversal of 56835240 is 4253865.

56835240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56835227) and next prime (56835253).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 6165 + ... + 12315.

It is an arithmetic number, because the mean of its divisors is an integer number (1661040).

Almost surely, 256835240 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 56835240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106306560).

56835240 is an abundant number, since it is smaller than the sum of its proper divisors (155777880).

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

56835240 is a wasteful number, since it uses less digits than its factorization.

56835240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183 (or 6179 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 56835240 is about 7538.9150413040. The cubic root of 56835240 is about 384.4789488177.

It can be divided in two parts, 56835 and 240, that added together give a palindrome (57075).

The spelling of 56835240 in words is "fifty-six million, eight hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 6151 9240 12302 18453 24604 30755 36906 43057 49208 61510 67661 73812 86114 92265 123020 129171 135322 147624 172228 184530 202983 215285 246040 258342 270644 338305 344456 369060 405966 430570 473627 516684 541288 645855 676610 738120 811932 861140 947254 1014915 1033368 1291710 1353220 1420881 1623864 1722280 1894508 2029830 2368135 2583420 2706440 2841762 3789016 4059660 4736270 5166840 5683524 7104405 8119320 9472540 11367048 14208810 18945080 28417620 56835240