Search a number
-
+
125550216 = 23331153997
BaseRepresentation
bin1110111101110…
…11111010001000
322202020121112000
413132323322020
5224120101331
620242551000
73053105421
oct736737210
9282217460
10125550216
1164962810
1236068460
132001b28c
1412962648
15b0500e6
hex77bbe88

125550216 has 128 divisors (see below), whose sum is σ = 388022400. Its totient is φ = 37290240.

The previous prime is 125550209. The next prime is 125550259. The reversal of 125550216 is 612055521.

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

It is a self number, because there is not a number n which added to its sum of digits gives 125550216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125430 + ... + 126426.

It is an arithmetic number, because the mean of its divisors is an integer number (3031425).

Almost surely, 2125550216 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 125550216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194011200).

125550216 is an abundant number, since it is smaller than the sum of its proper divisors (262472184).

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

125550216 is a wasteful number, since it uses less digits than its factorization.

125550216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 125550216 is about 11204.9192768177. The cubic root of 125550216 is about 500.7325475573.

The spelling of 125550216 in words is "one hundred twenty-five million, five hundred fifty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 53 54 66 72 88 99 106 108 132 159 198 212 216 264 297 318 396 424 477 583 594 636 792 954 997 1166 1188 1272 1431 1749 1908 1994 2332 2376 2862 2991 3498 3816 3988 4664 5247 5724 5982 6996 7976 8973 10494 10967 11448 11964 13992 15741 17946 20988 21934 23928 26919 31482 32901 35892 41976 43868 52841 53838 62964 65802 71784 87736 98703 105682 107676 125928 131604 158523 197406 211364 215352 263208 296109 317046 394812 422728 475569 581251 592218 634092 789624 951138 1162502 1184436 1268184 1426707 1743753 1902276 2325004 2368872 2853414 3487506 3804552 4650008 5231259 5706828 6975012 10462518 11413656 13950024 15693777 20925036 31387554 41850072 62775108 125550216