Search a number
-
+
87122178 = 2321121317181
BaseRepresentation
bin1010011000101…
…10000100000010
320001221021011100
411030112010002
5134300402203
612351155230
72105345343
oct514260402
9201837140
1087122178
11451a6200
1225215b16
13150850b0
14b7dc0ca
1579adea3
hex5316102

87122178 has 144 divisors (see below), whose sum is σ = 237896568. Its totient is φ = 22809600.

The previous prime is 87122153. The next prime is 87122219.

It is a happy number.

87122178 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 43996689 + 43125489 = 6633^2 + 6567^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 481248 + ... + 481428.

Almost surely, 287122178 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87122178, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118948284).

87122178 is an abundant number, since it is smaller than the sum of its proper divisors (150774390).

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

87122178 is a wasteful number, since it uses less digits than its factorization.

87122178 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 87122178 is about 9333.9261835521. The cubic root of 87122178 is about 443.3120891071.

It can be divided in two parts, 8712 and 2178, that multiplied together give a 4-th power (18974736 = 664).

The spelling of 87122178 in words is "eighty-seven million, one hundred twenty-two thousand, one hundred seventy-eight".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 33 34 39 51 66 78 99 102 117 121 143 153 181 187 198 221 234 242 286 306 362 363 374 429 442 543 561 663 726 858 1086 1089 1122 1287 1326 1573 1629 1683 1989 1991 2057 2178 2353 2431 2574 3077 3146 3258 3366 3978 3982 4114 4706 4719 4862 5973 6154 6171 7059 7293 9231 9438 11946 12342 14118 14157 14586 17919 18462 18513 21177 21879 21901 25883 26741 27693 28314 33847 35838 37026 40001 42354 43758 43802 51766 53482 55386 65703 67694 77649 80002 80223 101541 120003 131406 155298 160446 197109 203082 232947 240006 240669 284713 304623 360009 372317 394218 440011 465894 481338 569426 609246 720018 744634 854139 880022 1116951 1320033 1708278 2233902 2562417 2640066 3350853 3960099 4840121 5124834 6701706 7920198 9680242 14520363 29040726 43561089 87122178