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481230420 = 2235111037079
BaseRepresentation
bin11100101011101…
…111111001010100
31020112112001000220
4130223233321110
51441143333140
6115430234340
714632251066
oct3453577124
91215461026
10481230420
112277075a0
121151b59b0
1378912a38
1447cab736
152c3abbd0
hex1caefe54

481230420 has 96 divisors (see below), whose sum is σ = 1484421120. Its totient is φ = 115512960.

The previous prime is 481230419. The next prime is 481230439. The reversal of 481230420 is 24032184.

It is a super-3 number, since 3×4812304203 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64441 + ... + 71519.

It is an arithmetic number, because the mean of its divisors is an integer number (15462720).

Almost surely, 2481230420 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 481230420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742210560).

481230420 is an abundant number, since it is smaller than the sum of its proper divisors (1003190700).

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

481230420 is a wasteful number, since it uses less digits than its factorization.

481230420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7205 (or 7203 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 481230420 is about 21936.9646943236. The cubic root of 481230420 is about 783.6419756542.

The spelling of 481230420 in words is "four hundred eighty-one million, two hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 103 110 132 165 206 220 309 330 412 515 618 660 1030 1133 1236 1545 2060 2266 3090 3399 4532 5665 6180 6798 7079 11330 13596 14158 16995 21237 22660 28316 33990 35395 42474 67980 70790 77869 84948 106185 141580 155738 212370 233607 311476 389345 424740 467214 729137 778690 934428 1168035 1458274 1557380 2187411 2336070 2916548 3645685 4374822 4672140 7291370 8020507 8749644 10937055 14582740 16041014 21874110 24061521 32082028 40102535 43748220 48123042 80205070 96246084 120307605 160410140 240615210 481230420