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116631020 = 225111035147
BaseRepresentation
bin1101111001110…
…10010111101100
322010110110200102
412330322113230
5214324143040
615323450232
72614230062
oct674722754
9263413612
10116631020
115a920680
1233086978
131b21764c
14116c0032
15a38c515
hex6f3a5ec

116631020 has 48 divisors (see below), whose sum is σ = 269837568. Its totient is φ = 41991360.

The previous prime is 116630971. The next prime is 116631037. The reversal of 116631020 is 20136611.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 116630983 and 116631001.

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 15 ways as a sum of consecutive naturals, for example, 20087 + ... + 25233.

It is an arithmetic number, because the mean of its divisors is an integer number (5621616).

Almost surely, 2116631020 is an apocalyptic number.

116631020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116631020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134918784).

116631020 is an abundant number, since it is smaller than the sum of its proper divisors (153206548).

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

116631020 is a wasteful number, since it uses less digits than its factorization.

116631020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 116631020 is about 10799.5842512571. The cubic root of 116631020 is about 488.5826318432.

Adding to 116631020 its reverse (20136611), we get a palindrome (136767631).

It can be divided in two parts, 116 and 631020, that added together give a palindrome (631136).

The spelling of 116631020 in words is "one hundred sixteen million, six hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 2060 2266 4532 5147 5665 10294 11330 20588 22660 25735 51470 56617 102940 113234 226468 283085 530141 566170 1060282 1132340 2120564 2650705 5301410 5831551 10602820 11663102 23326204 29157755 58315510 116631020