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116029152 = 2533134293
BaseRepresentation
bin1101110101001…
…11011011100000
322002022220002000
412322213123200
5214200413102
615302524000
72606142261
oct672473340
9262286060
10116029152
115a54a468
1232a36600
131b066705
14115a4968
15a2be01c
hex6ea76e0

116029152 has 48 divisors (see below), whose sum is σ = 338420880. Its totient is φ = 38676096.

The previous prime is 116029141. The next prime is 116029153. The reversal of 116029152 is 251920611.

116029152 is a `hidden beast` number, since 1 + 1 + 602 + 9 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1160291522 = 26925528227678208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116029153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66283 + ... + 68010.

It is an arithmetic number, because the mean of its divisors is an integer number (7050435).

Almost surely, 2116029152 is an apocalyptic number.

116029152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116029152 is an abundant number, since it is smaller than the sum of its proper divisors (222391728).

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

116029152 is a wasteful number, since it uses less digits than its factorization.

116029152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134312 (or 134298 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 116029152 is about 10771.6828768768. The cubic root of 116029152 is about 487.7407473618.

Adding to 116029152 its reverse (251920611), we get a palindrome (367949763).

The spelling of 116029152 in words is "one hundred sixteen million, twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 134293 268586 402879 537172 805758 1074344 1208637 1611516 2148688 2417274 3223032 3625911 4297376 4834548 6446064 7251822 9669096 12892128 14503644 19338192 29007288 38676384 58014576 116029152