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4461060420 = 2234512721683
BaseRepresentation
bin1000010011110011…
…00110000101000100
3102111220021100110000
410021321212011010
533114012413140
62014400001300
7215356250025
oct41171460504
912456240400
104461060420
11198a1747a3
12a46000230
135612c182b
14304690c4c
151b199aa30
hex109e66144

4461060420 has 120 divisors (see below), whose sum is σ = 14105355264. Its totient is φ = 1180194624.

The previous prime is 4461060419. The next prime is 4461060433. The reversal of 4461060420 is 240601644.

4461060420 is a `hidden beast` number, since 4 + 4 + 610 + 6 + 0 + 42 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194899 + ... + 216581.

Almost surely, 24461060420 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 4461060420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052677632).

4461060420 is an abundant number, since it is smaller than the sum of its proper divisors (9644294844).

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

4461060420 is a wasteful number, since it uses less digits than its factorization.

4461060420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21831 (or 21820 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4461060420 is about 66791.1702248134. The cubic root of 4461060420 is about 1646.1877607864.

The spelling of 4461060420 in words is "four billion, four hundred sixty-one million, sixty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 127 135 162 180 254 270 324 381 405 508 540 635 762 810 1143 1270 1524 1620 1905 2286 2540 3429 3810 4572 5715 6858 7620 10287 11430 13716 17145 20574 21683 22860 34290 41148 43366 51435 65049 68580 86732 102870 108415 130098 195147 205740 216830 260196 325245 390294 433660 585441 650490 780588 975735 1170882 1300980 1756323 1951470 2341764 2753741 2927205 3512646 3902940 5507482 5854410 7025292 8261223 8781615 11014964 11708820 13768705 16522446 17563230 24783669 27537410 33044892 35126460 41306115 49567338 55074820 74351007 82612230 99134676 123918345 148702014 165224460 223053021 247836690 297404028 371755035 446106042 495673380 743510070 892212084 1115265105 1487020140 2230530210 4461060420