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116220420 = 2234571741
BaseRepresentation
bin1101110110101…
…10001000000100
322002200121110000
412323112020010
5214223023140
615311001300
72610600021
oct673261004
9262617400
10116220420
115a670138
1232b09230
131b1027a4
1411614548
15a30aa30
hex6ed6204

116220420 has 60 divisors (see below), whose sum is σ = 364592844. Its totient is φ = 30991680.

The previous prime is 116220413. The next prime is 116220427. The reversal of 116220420 is 24022611.

116220420 is a `hidden beast` number, since 1 + 1 + 622 + 0 + 42 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116220413) and next prime (116220427).

It can be written as a sum of positive squares in 2 ways, for example, as 57972996 + 58247424 = 7614^2 + 7632^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 116220393 and 116220402.

It is not an unprimeable number, because it can be changed into a prime (116220427) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34251 + ... + 37490.

Almost surely, 2116220420 is an apocalyptic number.

116220420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116220420 is an abundant number, since it is smaller than the sum of its proper divisors (248372424).

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

116220420 is a wasteful number, since it uses less digits than its factorization.

116220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71762 (or 71751 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 116220420 is about 10780.5574994988. The cubic root of 116220420 is about 488.0086052859.

The spelling of 116220420 in words is "one hundred sixteen million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 71741 143482 215223 286964 358705 430446 645669 717410 860892 1076115 1291338 1434820 1937007 2152230 2582676 3228345 3874014 4304460 5811021 6456690 7748028 9685035 11622042 12913380 19370070 23244084 29055105 38740140 58110210 116220420