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116350976 = 21372029
BaseRepresentation
bin1101110111101…
…10000000000000
322002221020112102
412323312000000
5214241212401
615313445532
72611652450
oct673660000
9262836472
10116350976
115a74a235
1232b708a8
131b14a041
1411649d60
15a33456b
hex6ef6000

116350976 has 56 divisors (see below), whose sum is σ = 266059920. Its totient is φ = 49840128.

The previous prime is 116350961. The next prime is 116350981. The reversal of 116350976 is 679053611.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×1163509763 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56330 + ... + 58358.

It is an arithmetic number, because the mean of its divisors is an integer number (4751070).

Almost surely, 2116350976 is an apocalyptic number.

116350976 is a gapful number since it is divisible by the number (16) 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 116350976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133029960).

116350976 is an abundant number, since it is smaller than the sum of its proper divisors (149708944).

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

116350976 is an frugal number, since it uses more digits than its factorization.

116350976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 116350976 is about 10786.6109598891. The cubic root of 116350976 is about 488.1912714337.

The spelling of 116350976 in words is "one hundred sixteen million, three hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2029 2048 3584 4058 4096 7168 8116 8192 14203 14336 16232 28406 28672 32464 56812 57344 64928 113624 129856 227248 259712 454496 519424 908992 1038848 1817984 2077696 3635968 4155392 7271936 8310784 14543872 16621568 29087744 58175488 116350976