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116064620 = 22573147569
BaseRepresentation
bin1101110101100…
…00000101101100
322002101200201122
412322300011230
5214203031440
615303400112
72606350550
oct672600554
9262350648
10116064620
115a574081
1232a53038
131b0798b9
14115b3860
15a2c97b5
hex6eb016c

116064620 has 96 divisors (see below), whose sum is σ = 294174720. Its totient is φ = 37624320.

The previous prime is 116064607. The next prime is 116064631. The reversal of 116064620 is 26460611.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 116064620.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 203696 + ... + 204264.

It is an arithmetic number, because the mean of its divisors is an integer number (3064320).

Almost surely, 2116064620 is an apocalyptic number.

116064620 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 116064620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147087360).

116064620 is an abundant number, since it is smaller than the sum of its proper divisors (178110100).

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

116064620 is a wasteful number, since it uses less digits than its factorization.

116064620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 116064620 is about 10773.3291047846. The cubic root of 116064620 is about 487.7904401219.

The spelling of 116064620 in words is "one hundred sixteen million, sixty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 47 62 70 94 124 140 155 188 217 235 310 329 434 470 569 620 658 868 940 1085 1138 1316 1457 1645 2170 2276 2845 2914 3290 3983 4340 5690 5828 6580 7285 7966 10199 11380 14570 15932 17639 19915 20398 26743 29140 35278 39830 40796 50995 53486 70556 79660 88195 101990 106972 123473 133715 176390 187201 203980 246946 267430 352780 374402 493892 534860 617365 748804 829033 936005 1234730 1658066 1872010 2469460 3316132 3744020 4145165 5803231 8290330 11606462 16580660 23212924 29016155 58032310 116064620