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8429920 = 255194759
BaseRepresentation
bin100000001010…
…000101100000
3120212021200021
4200022011200
54124224140
6500403224
7131440012
oct40120540
916767607
108429920
114838584
1229a6514
131992025
1411961b2
15b17b4a
hex80a160

8429920 has 96 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 3073536.

The previous prime is 8429917. The next prime is 8429947. The reversal of 8429920 is 299248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142851 + ... + 142909.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 28429920 is an apocalyptic number.

8429920 is a gapful number since it is divisible by the number (80) 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 8429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

8429920 is an abundant number, since it is smaller than the sum of its proper divisors (13342880).

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

8429920 is a wasteful number, since it uses less digits than its factorization.

8429920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 8429920 is about 2903.4324514271. The cubic root of 8429920 is about 203.5203391705.

The spelling of 8429920 in words is "eight million, four hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 47 59 76 80 94 95 118 152 160 188 190 235 236 295 304 376 380 470 472 590 608 752 760 893 940 944 1121 1180 1504 1520 1786 1880 1888 2242 2360 2773 3040 3572 3760 4465 4484 4720 5546 5605 7144 7520 8930 8968 9440 11092 11210 13865 14288 17860 17936 22184 22420 27730 28576 35720 35872 44368 44840 52687 55460 71440 88736 89680 105374 110920 142880 179360 210748 221840 263435 421496 443680 526870 842992 1053740 1685984 2107480 4214960 8429920