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420324156 = 2232721912541
BaseRepresentation
bin11001000011011…
…010001100111100
31002021220200100100
4121003122030330
51330100333111
6105413001100
713262460600
oct3103321474
91067820310
10420324156
111a629783a
12b8923190
1369109425
143db75500
1526d7a756
hex190da33c

420324156 has 108 divisors (see below), whose sum is σ = 1301107080. Its totient is φ = 113762880.

The previous prime is 420324139. The next prime is 420324187. The reversal of 420324156 is 651423024.

It is a super-2 number, since 2×4203241562 = 353344792234224672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27246 + ... + 39786.

Almost surely, 2420324156 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 420324156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650553540).

420324156 is an abundant number, since it is smaller than the sum of its proper divisors (880782924).

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

420324156 is a wasteful number, since it uses less digits than its factorization.

420324156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12584 (or 12572 counting only the distinct ones).

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

The square root of 420324156 is about 20501.8086031452. The cubic root of 420324156 is about 749.0798529008.

The spelling of 420324156 in words is "four hundred twenty million, three hundred twenty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 399 441 532 588 684 798 882 931 1197 1596 1764 1862 2394 2793 3724 4788 5586 8379 11172 12541 16758 25082 33516 37623 50164 75246 87787 112869 150492 175574 225738 238279 263361 351148 451476 476558 526722 614509 714837 790083 953116 1053444 1229018 1429674 1580166 1667953 1843527 2144511 2458036 2859348 3160332 3335906 3687054 4289022 5003859 5530581 6671812 7374108 8578044 10007718 11061162 11675671 15011577 20015436 22122324 23351342 30023154 35027013 46702684 60046308 70054026 105081039 140108052 210162078 420324156