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420202404 = 22351961373
BaseRepresentation
bin11001000010111…
…100011110100100
31002021200111100000
4121002330132210
51330032434104
6105410221300
713261442616
oct3102743644
91067614300
10420202404
111a6214316
12b8884830
1369095b9b
143db42db6
1526d54639
hex190bc7a4

420202404 has 144 divisors (see below), whose sum is σ = 1181660480. Its totient is φ = 130170240.

The previous prime is 420202403. The next prime is 420202439. The reversal of 420202404 is 404202024.

420202404 is a `hidden beast` number, since 420 + 2 + 0 + 240 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (420202403) 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, 1126362 + ... + 1126734.

Almost surely, 2420202404 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 420202404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590830240).

420202404 is an abundant number, since it is smaller than the sum of its proper divisors (761458076).

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

420202404 is a wasteful number, since it uses less digits than its factorization.

420202404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 420202404 is about 20498.8390890801. The cubic root of 420202404 is about 749.0075192219.

Adding to 420202404 its reverse (404202024), we get a palindrome (824404428).

The spelling of 420202404 in words is "four hundred twenty million, two hundred two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 61 76 81 108 114 122 162 171 183 228 243 244 324 342 366 373 486 513 549 684 732 746 972 1026 1098 1119 1159 1492 1539 1647 2052 2196 2238 2318 3078 3294 3357 3477 4476 4617 4636 4941 6156 6588 6714 6954 7087 9234 9882 10071 10431 13428 13908 14174 14823 18468 19764 20142 20862 21261 22753 28348 29646 30213 31293 40284 41724 42522 45506 59292 60426 62586 63783 68259 85044 90639 91012 93879 120852 125172 127566 136518 181278 187758 191349 204777 255132 273036 281637 362556 375516 382698 409554 432307 563274 574047 614331 765396 819108 864614 1126548 1148094 1228662 1296921 1722141 1729228 1842993 2296188 2457324 2593842 3444282 3685986 3890763 5187684 5528979 6888564 7371972 7781526 11057958 11672289 15563052 22115916 23344578 35016867 46689156 70033734 105050601 140067468 210101202 420202404