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1042930080 = 2534580473
BaseRepresentation
bin111110001010011…
…101100110100000
32200200110100010000
4332022131212200
54113442230310
6251253340000
734562521323
oct7612354640
92620410100
101042930080
11495785895
12251337600
131380bb5ba
149c7247ba
15618614c0
hex3e29d9a0

1042930080 has 120 divisors (see below), whose sum is σ = 3680719812. Its totient is φ = 278111232.

The previous prime is 1042930073. The next prime is 1042930099. The reversal of 1042930080 is 800392401.

1042930080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1042773264 + 156816 = 32292^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27277 + ... + 53196.

Almost surely, 21042930080 is an apocalyptic number.

1042930080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042930080 is an abundant number, since it is smaller than the sum of its proper divisors (2637789732).

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

1042930080 is an equidigital number, since it uses as much as digits as its factorization.

1042930080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80500 (or 80483 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1042930080 is about 32294.4280023660. The cubic root of 1042930080 is about 1014.1099982207.

The spelling of 1042930080 in words is "one billion, forty-two million, nine hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 80473 160946 241419 321892 402365 482838 643784 724257 804730 965676 1207095 1287568 1448514 1609460 1931352 2172771 2414190 2575136 2897028 3218920 3621285 3862704 4345542 4828380 5794056 6437840 6518313 7242570 7725408 8691084 9656760 10863855 11588112 12875680 13036626 14485140 17382168 19313520 21727710 23176224 26073252 28970280 32591565 34764336 38627040 43455420 52146504 57940560 65183130 69528672 86910840 104293008 115881120 130366260 173821680 208586016 260732520 347643360 521465040 1042930080