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420530940 = 2236528843
BaseRepresentation
bin11001000100001…
…100101011111100
31002022022012000000
4121010030223330
51330123442230
6105421234300
713264311504
oct3104145374
91068265000
10420530940
111a6419135
12b8a02990
136917c59b
143dbcaa04
1526dbbb60
hex1910cafc

420530940 has 84 divisors (see below), whose sum is σ = 1324112664. Its totient is φ = 112137696.

The previous prime is 420530897. The next prime is 420530993. The reversal of 420530940 is 49035024.

420530940 is a `hidden beast` number, since 42 + 0 + 530 + 94 + 0 = 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 27 ways as a sum of consecutive naturals, for example, 159 + ... + 29001.

It is an arithmetic number, because the mean of its divisors is an integer number (15763246).

Almost surely, 2420530940 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 420530940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662056332).

420530940 is an abundant number, since it is smaller than the sum of its proper divisors (903581724).

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

420530940 is a wasteful number, since it uses less digits than its factorization.

420530940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28870 (or 28853 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 420530940 is about 20506.8510503197. The cubic root of 420530940 is about 749.2026726592.

Adding to 420530940 its reverse (49035024), we get a palindrome (469565964).

The spelling of 420530940 in words is "four hundred twenty million, five hundred thirty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 28843 57686 86529 115372 144215 173058 259587 288430 346116 432645 519174 576860 778761 865290 1038348 1297935 1557522 1730580 2336283 2595870 3115044 3893805 4672566 5191740 7008849 7787610 9345132 11681415 14017698 15575220 21026547 23362830 28035396 35044245 42053094 46725660 70088490 84106188 105132735 140176980 210265470 420530940