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116029530 = 23351133803
BaseRepresentation
bin1101110101001…
…11100001011010
322002022220121000
412322213201122
5214200421110
615302525430
72606143341
oct672474132
9262286530
10116029530
115a54a781
1232a36876
131b066936
14115a4b58
15a2be1c0
hex6ea785a

116029530 has 64 divisors (see below), whose sum is σ = 312232320. Its totient is φ = 30659328.

The previous prime is 116029517. The next prime is 116029531. The reversal of 116029530 is 35920611.

116029530 is a `hidden beast` number, since 1 + 1 + 602 + 9 + 53 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 116029494 and 116029503.

It is not an unprimeable number, because it can be changed into a prime (116029531) 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, 28609 + ... + 32411.

It is an arithmetic number, because the mean of its divisors is an integer number (4878630).

Almost surely, 2116029530 is an apocalyptic number.

116029530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116029530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156116160).

116029530 is an abundant number, since it is smaller than the sum of its proper divisors (196202790).

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

116029530 is a wasteful number, since it uses less digits than its factorization.

116029530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 116029530 is about 10771.7004228673. The cubic root of 116029530 is about 487.7412770154.

The spelling of 116029530 in words is "one hundred sixteen million, twenty-nine thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 565 678 1017 1130 1695 2034 3051 3390 3803 5085 6102 7606 10170 11409 15255 19015 22818 30510 34227 38030 57045 68454 102681 114090 171135 205362 342270 429739 513405 859478 1026810 1289217 2148695 2578434 3867651 4297390 6446085 7735302 11602953 12892170 19338255 23205906 38676510 58014765 116029530