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116164740 = 223517611867
BaseRepresentation
bin1101110110010…
…00100010000100
322002120210001210
412323020202010
5214214232430
615305451420
72610245466
oct673104204
9262523053
10116164740
115a63231a
1232aa0b70
131b0b3343
14115dc136
15a2e92b0
hex6ec8884

116164740 has 96 divisors (see below), whose sum is σ = 350227584. Its totient is φ = 28661760.

The previous prime is 116164717. The next prime is 116164747. The reversal of 116164740 is 47461611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 116164698 and 116164707.

It is not an unprimeable number, because it can be changed into a prime (116164747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61287 + ... + 63153.

It is an arithmetic number, because the mean of its divisors is an integer number (3648204).

Almost surely, 2116164740 is an apocalyptic number.

116164740 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 116164740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175113792).

116164740 is an abundant number, since it is smaller than the sum of its proper divisors (234062844).

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

116164740 is a wasteful number, since it uses less digits than its factorization.

116164740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 116164740 is about 10777.9747633774. The cubic root of 116164740 is about 487.9306595467.

The spelling of 116164740 in words is "one hundred sixteen million, one hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 61 68 85 102 122 170 183 204 244 255 305 340 366 510 610 732 915 1020 1037 1220 1830 1867 2074 3111 3660 3734 4148 5185 5601 6222 7468 9335 10370 11202 12444 15555 18670 20740 22404 28005 31110 31739 37340 56010 62220 63478 95217 112020 113887 126956 158695 190434 227774 317390 341661 380868 455548 476085 569435 634780 683322 952170 1138870 1366644 1708305 1904340 1936079 2277740 3416610 3872158 5808237 6833220 7744316 9680395 11616474 19360790 23232948 29041185 38721580 58082370 116164740