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420061236 = 223723415303
BaseRepresentation
bin11001000010011…
…010000000110100
31002021102022200120
4121002122000310
51330013424421
6105403211540
713260314220
oct3102320064
91067368616
10420061236
111a6128251
12b8816bb0
136904685a
143db07780
1526d278c6
hex1909a034

420061236 has 96 divisors (see below), whose sum is σ = 1197600768. Its totient is φ = 111978240.

The previous prime is 420061217. The next prime is 420061237. The reversal of 420061236 is 632160024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420061237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76561 + ... + 81863.

It is an arithmetic number, because the mean of its divisors is an integer number (12475008).

Almost surely, 2420061236 is an apocalyptic number.

420061236 is a gapful number since it is divisible by the number (46) 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 420061236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598800384).

420061236 is an abundant number, since it is smaller than the sum of its proper divisors (777539532).

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

420061236 is a wasteful number, since it uses less digits than its factorization.

420061236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5381 (or 5379 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 420061236 is about 20495.3954828883. The cubic root of 420061236 is about 748.9236328730.

The spelling of 420061236 in words is "four hundred twenty million, sixty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 41 42 46 69 82 84 92 123 138 161 164 246 276 287 322 483 492 574 644 861 943 966 1148 1722 1886 1932 2829 3444 3772 5303 5658 6601 10606 11316 13202 15909 19803 21212 26404 31818 37121 39606 63636 74242 79212 111363 121969 148484 217423 222726 243938 365907 434846 445452 487876 652269 731814 853783 869692 1304538 1463628 1521961 1707566 2561349 2609076 3043922 3415132 4565883 5000729 5122698 6087844 9131766 10001458 10245396 15002187 18263532 20002916 30004374 35005103 60008748 70010206 105015309 140020412 210030618 420061236