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920794112 = 2107196761
BaseRepresentation
bin110110111000100…
…011010000000000
32101011122012001122
4312320203100000
53341210402422
6231211451412
731550422640
oct6670432000
92334565048
10920794112
11432845277
12218456b68
131189c73b4
148a410520
1555c87d42
hex36e23400

920794112 has 88 divisors (see below), whose sum is σ = 2214690240. Its totient is φ = 373800960.

The previous prime is 920794111. The next prime is 920794129. The reversal of 920794112 is 211497029.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920794111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 132812 + ... + 139572.

Almost surely, 2920794112 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 920794112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107345120).

920794112 is an abundant number, since it is smaller than the sum of its proper divisors (1293896128).

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

920794112 is a wasteful number, since it uses less digits than its factorization.

920794112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6807 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 920794112 is about 30344.5895012604. The cubic root of 920794112 is about 972.8685806914.

The spelling of 920794112 in words is "nine hundred twenty million, seven hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 896 1024 1064 1216 1792 2128 2432 3584 4256 4864 6761 7168 8512 9728 13522 17024 19456 27044 34048 47327 54088 68096 94654 108176 128459 136192 189308 216352 256918 378616 432704 513836 757232 865408 899213 1027672 1514464 1730816 1798426 2055344 3028928 3461632 3596852 4110688 6057856 6923264 7193704 8221376 12115712 14387408 16442752 24231424 28774816 32885504 48462848 57549632 65771008 115099264 131542016 230198528 460397056 920794112