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56734380 = 223251953313
BaseRepresentation
bin1101100001101…
…1001010101100
310221202101221100
43120123022230
5104011000010
65344003100
71256143233
oct330331254
9127671840
1056734380
112a03041a
1217000490
13b9a5751
14776bb1a
154eaa2c0
hex361b2ac

56734380 has 144 divisors (see below), whose sum is σ = 185159520. Its totient is φ = 14017536.

The previous prime is 56734369. The next prime is 56734387. The reversal of 56734380 is 8343765.

It is a happy number.

56734380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56734387) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 181104 + ... + 181416.

It is an arithmetic number, because the mean of its divisors is an integer number (1285830).

Almost surely, 256734380 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 56734380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92579760).

56734380 is an abundant number, since it is smaller than the sum of its proper divisors (128425140).

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

56734380 is a wasteful number, since it uses less digits than its factorization.

56734380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 56734380 is about 7532.2227794988. Note that the first 3 decimals coincide. The cubic root of 56734380 is about 384.2513816237.

The spelling of 56734380 in words is "fifty-six million, seven hundred thirty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 53 57 60 76 90 95 106 114 159 171 180 190 212 228 265 285 313 318 342 380 477 530 570 626 636 684 795 855 939 954 1007 1060 1140 1252 1565 1590 1710 1878 1908 2014 2385 2817 3021 3130 3180 3420 3756 4028 4695 4770 5035 5634 5947 6042 6260 9063 9390 9540 10070 11268 11894 12084 14085 15105 16589 17841 18126 18780 20140 23788 28170 29735 30210 33178 35682 36252 45315 49767 53523 56340 59470 60420 66356 71364 82945 89205 90630 99534 107046 118940 149301 165890 178410 181260 199068 214092 248835 267615 298602 315191 331780 356820 497670 535230 597204 630382 746505 945573 995340 1070460 1260764 1493010 1575955 1891146 2836719 2986020 3151910 3782292 4727865 5673438 6303820 9455730 11346876 14183595 18911460 28367190 56734380