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116246152 = 231122941101
BaseRepresentation
bin1101110110111…
…00011010001000
322002201220202001
412323130122020
5214224334102
615311320344
72611035031
oct673343210
9262656661
10116246152
115a688500
1232b200b4
131b111409
141161da88
15a313487
hex6edc688

116246152 has 96 divisors (see below), whose sum is σ = 256397400. Its totient is φ = 49280000.

The previous prime is 116246147. The next prime is 116246159. The reversal of 116246152 is 251642611.

It can be written as a sum of positive squares in 4 ways, for example, as 101082916 + 15163236 = 10054^2 + 3894^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 116246152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116246159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1150902 + ... + 1151002.

Almost surely, 2116246152 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 116246152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128198700).

116246152 is an abundant number, since it is smaller than the sum of its proper divisors (140151248).

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

116246152 is a wasteful number, since it uses less digits than its factorization.

116246152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 116246152 is about 10781.7508782201. The cubic root of 116246152 is about 488.0446187815.

Adding to 116246152 its reverse (251642611), we get a palindrome (367888763).

The spelling of 116246152 in words is "one hundred sixteen million, two hundred forty-six thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 29 41 44 58 82 88 101 116 121 164 202 232 242 319 328 404 451 484 638 808 902 968 1111 1189 1276 1804 2222 2378 2552 2929 3509 3608 4141 4444 4756 4961 5858 7018 8282 8888 9512 9922 11716 12221 13079 14036 16564 19844 23432 24442 26158 28072 32219 33128 39688 45551 48884 52316 64438 91102 97768 104632 120089 128876 143869 182204 240178 257752 287738 354409 364408 480356 501061 575476 708818 960712 1002122 1150952 1320979 1417636 2004244 2641958 2835272 4008488 5283916 10567832 14530769 29061538 58123076 116246152