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113227776 = 211326143
BaseRepresentation
bin1101011111110…
…11100000000000
321220001120022100
412233323200000
5212441242101
615122510400
72543264064
oct657734000
9256046270
10113227776
1158a06782
1231b05400
131a5c55ac
1411075aa4
159e18e86
hex6bfb800

113227776 has 72 divisors (see below), whose sum is σ = 327075840. Its totient is φ = 37736448.

The previous prime is 113227771. The next prime is 113227801. The reversal of 113227776 is 677722311.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 113227776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113227771) 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 5 ways as a sum of consecutive naturals, for example, 15361 + ... + 21503.

It is an arithmetic number, because the mean of its divisors is an integer number (4542720).

Almost surely, 2113227776 is an apocalyptic number.

113227776 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 113227776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920).

113227776 is an abundant number, since it is smaller than the sum of its proper divisors (213848064).

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

113227776 is an equidigital number, since it uses as much as digits as its factorization.

113227776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171 (or 6148 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 113227776 is about 10640.8541010579. The cubic root of 113227776 is about 483.7834333802.

It can be divided in two parts, 113227 and 776, that added together give a triangular number (114003 = T477).

The spelling of 113227776 in words is "one hundred thirteen million, two hundred twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6143 6144 9216 12286 18429 18432 24572 36858 49144 55287 73716 98288 110574 147432 196576 221148 294864 393152 442296 589728 786304 884592 1179456 1572608 1769184 2358912 3145216 3538368 4717824 6290432 7076736 9435648 12580864 14153472 18871296 28306944 37742592 56613888 113227776