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920923104 = 25346120809
BaseRepresentation
bin110110111001000…
…010101111100000
32101011212202000010
4312321002233200
53341224014404
6231214324520
731551501003
oct6671025740
92334782003
10920923104
11432923182
122184b9740
13118a4101a
148a44553a
1555cb1189
hex36e42be0

920923104 has 48 divisors (see below), whose sum is σ = 2422783440. Its totient is φ = 306293760.

The previous prime is 920923063. The next prime is 920923109. The reversal of 920923104 is 401329029.

920923104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920923109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33852 + ... + 54660.

It is an arithmetic number, because the mean of its divisors is an integer number (50474655).

Almost surely, 2920923104 is an apocalyptic number.

It is an amenable number.

920923104 is an abundant number, since it is smaller than the sum of its proper divisors (1501860336).

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

920923104 is a wasteful number, since it uses less digits than its factorization.

920923104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21283 (or 21275 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 920923104 is about 30346.7148798680. The cubic root of 920923104 is about 972.9140075690.

The spelling of 920923104 in words is "nine hundred twenty million, nine hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 461 922 1383 1844 2766 3688 5532 7376 11064 14752 20809 22128 41618 44256 62427 83236 124854 166472 249708 332944 499416 665888 998832 1997664 9592949 19185898 28778847 38371796 57557694 76743592 115115388 153487184 230230776 306974368 460461552 920923104