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481381380 = 223451631823
BaseRepresentation
bin11100101100010…
…100110000000100
31020112210201010000
4130230110300010
51441213201010
6115433401300
714633450154
oct3454246004
91215721100
10481381380
112277aaa57
12115269230
137896666c
1447d0a764
152c3db7c0
hex1cb14c04

481381380 has 120 divisors (see below), whose sum is σ = 1520209152. Its totient is φ = 127510848.

The previous prime is 481381339. The next prime is 481381409. The reversal of 481381380 is 83183184.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 263149 + ... + 264971.

Almost surely, 2481381380 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 481381380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760104576).

481381380 is an abundant number, since it is smaller than the sum of its proper divisors (1038827772).

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

481381380 is a wasteful number, since it uses less digits than its factorization.

481381380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 481381380 is about 21940.4051922475. The cubic root of 481381380 is about 783.7239088405.

The spelling of 481381380 in words is "four hundred eighty-one million, three hundred eighty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 163 180 270 324 326 405 489 540 652 810 815 978 1467 1620 1630 1823 1956 2445 2934 3260 3646 4401 4890 5469 5868 7292 7335 8802 9115 9780 10938 13203 14670 16407 17604 18230 21876 22005 26406 27345 29340 32814 36460 44010 49221 52812 54690 65628 66015 82035 88020 98442 109380 132030 147663 164070 196884 246105 264060 295326 297149 328140 492210 590652 594298 738315 891447 984420 1188596 1476630 1485745 1782894 2674341 2953260 2971490 3565788 4457235 5348682 5942980 8023023 8914470 10697364 13371705 16046046 17828940 24069069 26743410 32092092 40115115 48138138 53486820 80230230 96276276 120345345 160460460 240690690 481381380