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116575020 = 223251514289
BaseRepresentation
bin1101111001011…
…00101100101100
322010100121212100
412330230230230
5214320400040
615322335100
72613604602
oct674545454
9263317770
10116575020
115a8925a1
123305a490
131b1c8003
14116a7872
15a37ab30
hex6f2cb2c

116575020 has 72 divisors (see below), whose sum is σ = 356035680. Its totient is φ = 30873600.

The previous prime is 116575009. The next prime is 116575061. The reversal of 116575020 is 20575611.

116575020 is a `hidden beast` number, since 1 + 1 + 657 + 5 + 0 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25036 + ... + 29324.

It is an arithmetic number, because the mean of its divisors is an integer number (4944940).

Almost surely, 2116575020 is an apocalyptic number.

116575020 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 116575020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178017840).

116575020 is an abundant number, since it is smaller than the sum of its proper divisors (239460660).

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

116575020 is a wasteful number, since it uses less digits than its factorization.

116575020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 116575020 is about 10796.9912475652. The cubic root of 116575020 is about 488.5044222108.

The spelling of 116575020 in words is "one hundred sixteen million, five hundred seventy-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 453 604 755 906 1359 1510 1812 2265 2718 3020 4289 4530 5436 6795 8578 9060 12867 13590 17156 21445 25734 27180 38601 42890 51468 64335 77202 85780 128670 154404 193005 257340 386010 647639 772020 1295278 1942917 2590556 3238195 3885834 5828751 6476390 7771668 9714585 11657502 12952780 19429170 23315004 29143755 38858340 58287510 116575020