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1631928320 = 2145111811
BaseRepresentation
bin110000101000101…
…0100000000000000
311012201202112210122
41201101110000000
511320233201240
6425533515412
755304106341
oct14121240000
94181675718
101631928320
117681a99a0
12396642b68
13200134679
14116a460c8
15984094b5
hex61454000

1631928320 has 120 divisors (see below), whose sum is σ = 4274913888. Its totient is φ = 593100800.

The previous prime is 1631928301. The next prime is 1631928329. The reversal of 1631928320 is 238291361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1631928329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 900215 + ... + 902025.

Almost surely, 21631928320 is an apocalyptic number.

1631928320 is a gapful number since it is divisible by the number (10) 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 1631928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137456944).

1631928320 is an abundant number, since it is smaller than the sum of its proper divisors (2642985568).

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

1631928320 is an equidigital number, since it uses as much as digits as its factorization.

1631928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 1631928320 is about 40397.1325715081. The cubic root of 1631928320 is about 1177.3358260598.

The spelling of 1631928320 in words is "one billion, six hundred thirty-one million, nine hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 1811 2048 2560 2816 3520 3622 4096 5120 5632 7040 7244 8192 9055 10240 11264 14080 14488 16384 18110 19921 20480 22528 28160 28976 36220 39842 40960 45056 56320 57952 72440 79684 81920 90112 99605 112640 115904 144880 159368 180224 199210 225280 231808 289760 318736 398420 450560 463616 579520 637472 796840 901120 927232 1159040 1274944 1593680 1854464 2318080 2549888 3187360 3708928 4636160 5099776 6374720 7417856 9272320 10199552 12749440 14835712 18544640 20399104 25498880 29671424 37089280 40798208 50997760 74178560 81596416 101995520 148357120 163192832 203991040 326385664 407982080 815964160 1631928320