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116164500 = 22353431801
BaseRepresentation
bin1101110110010…
…00011110010100
322002120202201220
412323020132110
5214214231000
615305450340
72610245004
oct673103624
9262522656
10116164500
115a632121
1232aa09b0
131b0b31ba
14115dc004
15a2e91a0
hex6ec8794

116164500 has 96 divisors (see below), whose sum is σ = 346329984. Its totient is φ = 30240000.

The previous prime is 116164469. The next prime is 116164501. The reversal of 116164500 is 5461611.

It is a super-3 number, since 3×1161645003 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116164501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63600 + ... + 65400.

It is an arithmetic number, because the mean of its divisors is an integer number (3607604).

Almost surely, 2116164500 is an apocalyptic number.

116164500 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 116164500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173164992).

116164500 is an abundant number, since it is smaller than the sum of its proper divisors (230165484).

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

116164500 is a wasteful number, since it uses less digits than its factorization.

116164500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 116164500 is about 10777.9636295545. The cubic root of 116164500 is about 487.9303235198.

The spelling of 116164500 in words is "one hundred sixteen million, one hundred sixty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 125 129 150 172 215 250 258 300 375 430 500 516 645 750 860 1075 1290 1500 1801 2150 2580 3225 3602 4300 5375 5403 6450 7204 9005 10750 10806 12900 16125 18010 21500 21612 27015 32250 36020 45025 54030 64500 77443 90050 108060 135075 154886 180100 225125 232329 270150 309772 387215 450250 464658 540300 675375 774430 900500 929316 1161645 1350750 1548860 1936075 2323290 2701500 3872150 4646580 5808225 7744300 9680375 11616450 19360750 23232900 29041125 38721500 58082250 116164500