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620404020 = 22325103109307
BaseRepresentation
bin100100111110101…
…001110100110100
31121020101210022200
4210332221310310
52232310412040
6141321224500
721242230035
oct4476516464
91536353280
10620404020
112992247a5
12153932130
139b6c0b92
145c578a8c
15396ed630
hex24fa9d34

620404020 has 144 divisors (see below), whose sum is σ = 1923841920. Its totient is φ = 161803008.

The previous prime is 620403991. The next prime is 620404021. The reversal of 620404020 is 20404026.

620404020 is a `hidden beast` number, since 620 + 4 + 0 + 40 + 2 + 0 = 666.

It is a super-2 number, since 2×6204040202 = 769802296064320800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 620403984 and 620404002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620404021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2020707 + ... + 2021013.

Almost surely, 2620404020 is an apocalyptic number.

620404020 is a gapful number since it is divisible by the number (60) 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 620404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961920960).

620404020 is an abundant number, since it is smaller than the sum of its proper divisors (1303437900).

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

620404020 is a wasteful number, since it uses less digits than its factorization.

620404020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 620404020 is about 24907.9107915538. The cubic root of 620404020 is about 852.8870777989.

Adding to 620404020 its reverse (20404026), we get a palindrome (640808046).

The spelling of 620404020 in words is "six hundred twenty million, four hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 109 180 206 218 307 309 327 412 436 515 545 614 618 654 921 927 981 1030 1090 1228 1236 1308 1535 1545 1635 1842 1854 1962 2060 2180 2763 3070 3090 3270 3684 3708 3924 4605 4635 4905 5526 6140 6180 6540 9210 9270 9810 11052 11227 13815 18420 18540 19620 22454 27630 31621 33463 33681 44908 55260 56135 63242 66926 67362 94863 100389 101043 112270 126484 133852 134724 158105 167315 168405 189726 200778 202086 224540 284589 301167 316210 334630 336810 379452 401556 404172 474315 501945 505215 569178 602334 632420 669260 673620 948630 1003890 1010430 1138356 1204668 1422945 1505835 1897260 2007780 2020860 2845890 3011670 3446689 5691780 6023340 6893378 10340067 13786756 17233445 20680134 31020201 34466890 41360268 51700335 62040402 68933780 103400670 124080804 155101005 206801340 310202010 620404020