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406054620 = 22345475333
BaseRepresentation
bin11000001100111…
…110011011011100
31001022001201020000
4120030332123130
51312422221440
6104143054300
713030256466
oct3014763334
91038051200
10406054620
11199230934
12b3ba1390
136618140a
143bcdd136
15259ac730
hex1833e6dc

406054620 has 120 divisors (see below), whose sum is σ = 1301154624. Its totient is φ = 105957504.

The previous prime is 406054619. The next prime is 406054631. The reversal of 406054620 is 26450604.

It is a happy number.

406054620 is a `hidden beast` number, since 40 + 60 + 546 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73474 + ... + 78806.

Almost surely, 2406054620 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 406054620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650577312).

406054620 is an abundant number, since it is smaller than the sum of its proper divisors (895100004).

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

406054620 is a wasteful number, since it uses less digits than its factorization.

406054620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5401 (or 5390 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 406054620 is about 20150.7970065702. The cubic root of 406054620 is about 740.5052672973.

The spelling of 406054620 in words is "four hundred six million, fifty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 81 90 94 108 135 141 162 180 188 235 270 282 324 405 423 470 540 564 705 810 846 940 1269 1410 1620 1692 2115 2538 2820 3807 4230 5076 5333 6345 7614 8460 10666 12690 15228 15999 19035 21332 25380 26665 31998 38070 47997 53330 63996 76140 79995 95994 106660 143991 159990 191988 239985 250651 287982 319980 431973 479970 501302 575964 719955 751953 863946 959940 1002604 1253255 1439910 1503906 1727892 2159865 2255859 2506510 2879820 3007812 3759765 4319730 4511718 5013020 6767577 7519530 8639460 9023436 11279295 13535154 15039060 20302731 22558590 27070308 33837885 40605462 45117180 67675770 81210924 101513655 135351540 203027310 406054620