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920204992 = 26731173383
BaseRepresentation
bin110110110110010…
…011011011000000
32101010112020221101
4312312103123000
53341033024432
6231151104144
731542420250
oct6666233300
92333466841
10920204992
114324826a3
12218212054
1311884c1c5
148a2d9960
1555bbd4e7
hex36d936c0

920204992 has 112 divisors (see below), whose sum is σ = 2172321792. Its totient is φ = 378455040.

The previous prime is 920204983. The next prime is 920204993. The reversal of 920204992 is 299402029.

920204992 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 (112).

It is not an unprimeable number, because it can be changed into a prime (920204993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2402433 + ... + 2402815.

Almost surely, 2920204992 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 920204992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086160896).

920204992 is an abundant number, since it is smaller than the sum of its proper divisors (1252116800).

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

920204992 is a wasteful number, since it uses less digits than its factorization.

920204992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 920204992 is about 30334.8807810415. The cubic root of 920204992 is about 972.6610574227.

The spelling of 920204992 in words is "nine hundred twenty million, two hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 173 217 224 248 346 383 434 448 496 692 766 868 992 1211 1384 1532 1736 1984 2422 2681 2768 3064 3472 4844 5362 5363 5536 6128 6944 9688 10724 10726 11072 11873 12256 13888 19376 21448 21452 23746 24512 37541 38752 42896 42904 47492 66259 75082 77504 83111 85792 85808 94984 132518 150164 166222 171584 171616 189968 265036 300328 332444 343232 379936 463813 530072 600656 664888 759872 927626 1060144 1201312 1329776 1855252 2054029 2120288 2402624 2659552 3710504 4108058 4240576 5319104 7421008 8216116 14378203 14842016 16432232 28756406 29684032 32864464 57512812 65728928 115025624 131457856 230051248 460102496 920204992