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920998920 = 2335127223271
BaseRepresentation
bin110110111001010…
…101010000001000
32101012000121000010
4312321111100020
53341233431140
6231220111520
731552235022
oct6671252010
92335017003
10920998920
11432975136
122185355a0
13118a6969a
148a465012
1555cc8880
hex36e55408

920998920 has 128 divisors (see below), whose sum is σ = 2807562240. Its totient is φ = 241678080.

The previous prime is 920998877. The next prime is 920998921. The reversal of 920998920 is 29899029.

It is a self number, because there is not a number n which added to its sum of digits gives 920998920.

It is not an unprimeable number, because it can be changed into a prime (920998921) 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 31 ways as a sum of consecutive naturals, for example, 3398385 + ... + 3398655.

It is an arithmetic number, because the mean of its divisors is an integer number (21934080).

Almost surely, 2920998920 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 920998920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403781120).

920998920 is an abundant number, since it is smaller than the sum of its proper divisors (1886563320).

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

920998920 is a wasteful number, since it uses less digits than its factorization.

920998920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 920998920 is about 30347.9640173768. The cubic root of 920998920 is about 972.9407055724.

The spelling of 920998920 in words is "nine hundred twenty million, nine hundred ninety-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 223 254 271 381 446 508 542 635 669 762 813 892 1016 1084 1115 1270 1338 1355 1524 1626 1784 1905 2168 2230 2540 2676 2710 3048 3252 3345 3810 4065 4460 5080 5352 5420 6504 6690 7620 8130 8920 10840 13380 15240 16260 26760 28321 32520 34417 56642 60433 68834 84963 103251 113284 120866 137668 141605 169926 172085 181299 206502 226568 241732 275336 283210 302165 339852 344170 362598 413004 424815 483464 516255 566420 604330 679704 688340 725196 826008 849630 906495 1032510 1132840 1208660 1376680 1450392 1699260 1812990 2065020 2417320 3398520 3625980 4130040 7251960 7674991 15349982 23024973 30699964 38374955 46049946 61399928 76749910 92099892 115124865 153499820 184199784 230249730 306999640 460499460 920998920