Search a number
-
+
55996710 = 23572113463
BaseRepresentation
bin1101010110011…
…1000100100110
310220100221001020
43111213010212
5103313343320
65320112010
71246651500
oct325470446
9126327036
1055996710
1129677180
1216905606
13b7a7a63
147618d70
154db1940
hex3567126

55996710 has 96 divisors (see below), whose sum is σ = 170595072. Its totient is φ = 11632320.

The previous prime is 55996687. The next prime is 55996711. The reversal of 55996710 is 1769955.

55996710 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55996711) 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, 14439 + ... + 17901.

It is an arithmetic number, because the mean of its divisors is an integer number (1777032).

Almost surely, 255996710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55996710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85297536).

55996710 is an abundant number, since it is smaller than the sum of its proper divisors (114598362).

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

55996710 is a wasteful number, since it uses less digits than its factorization.

55996710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 42.

The square root of 55996710 is about 7483.0949479477. The cubic root of 55996710 is about 382.5787440939.

The spelling of 55996710 in words is "fifty-five million, nine hundred ninety-six thousand, seven hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 1078 1155 1470 1617 2310 2695 3234 3463 5390 6926 8085 10389 16170 17315 20778 24241 34630 38093 48482 51945 72723 76186 103890 114279 121205 145446 169687 190465 228558 242410 266651 339374 363615 380930 509061 533302 571395 727230 799953 848435 1018122 1142790 1333255 1599906 1696870 1866557 2545305 2666510 3733114 3999765 5090610 5599671 7999530 9332785 11199342 18665570 27998355 55996710