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116051328 = 2732131769
BaseRepresentation
bin1101110101011…
…00110110000000
322002101000111100
412322230312000
5214202120303
615303214400
72606264031
oct672546600
9262330440
10116051328
115a565098
1232a47400
131b073833
14115aca88
15a2c58a3
hex6eacd80

116051328 has 96 divisors (see below), whose sum is σ = 336936600. Its totient is φ = 38338560.

The previous prime is 116051317. The next prime is 116051329. The reversal of 116051328 is 823150611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116051329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150528 + ... + 151296.

Almost surely, 2116051328 is an apocalyptic number.

116051328 is a gapful number since it is divisible by the number (18) 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 116051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168468300).

116051328 is an abundant number, since it is smaller than the sum of its proper divisors (220885272).

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

116051328 is a wasteful number, since it uses less digits than its factorization.

116051328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 116051328 is about 10772.7121933151. The cubic root of 116051328 is about 487.7718184320.

The spelling of 116051328 in words is "one hundred sixteen million, fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 262 288 384 393 524 576 769 786 1048 1152 1179 1538 1572 2096 2307 2358 3076 3144 4192 4614 4716 6152 6288 6921 8384 9228 9432 12304 12576 13842 16768 18456 18864 24608 25152 27684 36912 37728 49216 50304 55368 73824 75456 98432 100739 110736 147648 150912 201478 221472 295296 302217 402956 442944 604434 805912 885888 906651 1208868 1611824 1813302 2417736 3223648 3626604 4835472 6447296 7253208 9670944 12894592 14506416 19341888 29012832 38683776 58025664 116051328