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481983120 = 243254714243
BaseRepresentation
bin11100101110100…
…111101010010000
31020120221021112200
4130232213222100
51441341424440
6115454323200
714641534413
oct3456475220
91216837480
10481983120
11228081063
121154b9500
1378b17518
1448025b7a
152c4a9c30
hex1cba7a90

481983120 has 120 divisors (see below), whose sum is σ = 1653215616. Its totient is φ = 125785344.

The previous prime is 481983107. The next prime is 481983121. The reversal of 481983120 is 21389184.

481983120 is digitally balanced in base 6, 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (481983121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26719 + ... + 40961.

Almost surely, 2481983120 is an apocalyptic number.

481983120 is a gapful number since it is divisible by the number (40) 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 481983120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826607808).

481983120 is an abundant number, since it is smaller than the sum of its proper divisors (1171232496).

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

481983120 is a wasteful number, since it uses less digits than its factorization.

481983120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14309 (or 14300 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 481983120 is about 21954.1139652686. The cubic root of 481983120 is about 784.0503316986.

The spelling of 481983120 in words is "four hundred eighty-one million, nine hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3760 4230 5640 6768 8460 11280 14243 16920 28486 33840 42729 56972 71215 85458 113944 128187 142430 170916 213645 227888 256374 284860 341832 427290 512748 569720 640935 669421 683664 854580 1025496 1139440 1281870 1338842 1709160 2008263 2050992 2563740 2677684 3347105 3418320 4016526 5127480 5355368 6024789 6694210 8033052 10041315 10254960 10710736 12049578 13388420 16066104 20082630 24099156 26776840 30123945 32132208 40165260 48198312 53553680 60247890 80330520 96396624 120495780 160661040 240991560 481983120