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116396672 = 277373511
BaseRepresentation
bin1101111000000…
…01001010000000
322010000120012212
412330001022000
5214244143142
615314441252
72612232620
oct674011200
9263016185
10116396672
115a7805a7
1232b93228
131b164a92
141165c880
15a342d82
hex6f01280

116396672 has 64 divisors (see below), whose sum is σ = 272250240. Its totient is φ = 48522240.

The previous prime is 116396659. The next prime is 116396713. The reversal of 116396672 is 276693611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31397 + ... + 34907.

It is an arithmetic number, because the mean of its divisors is an integer number (4253910).

Almost surely, 2116396672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116396672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136125120).

116396672 is an abundant number, since it is smaller than the sum of its proper divisors (155853568).

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

116396672 is an equidigital number, since it uses as much as digits as its factorization.

116396672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3557 counting only the distinct ones).

The product of its digits is 81648, while the sum is 41.

The square root of 116396672 is about 10788.7289334750. The cubic root of 116396672 is about 488.2551742596.

The spelling of 116396672 in words is "one hundred sixteen million, three hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 259 296 448 518 592 896 1036 1184 2072 2368 3511 4144 4736 7022 8288 14044 16576 24577 28088 33152 49154 56176 98308 112352 129907 196616 224704 259814 393232 449408 519628 786464 909349 1039256 1572928 1818698 2078512 3145856 3637396 4157024 7274792 8314048 14549584 16628096 29099168 58198336 116396672