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420354036 = 22351725439
BaseRepresentation
bin11001000011100…
…001011111110100
31002021222012100000
4121003201133310
51330102312121
6105413351300
713262643654
oct3103413764
91067865300
10420354036
111a6308233
12b8938530
1369119bcb
143db82364
1526d84526
hex190e17f4

420354036 has 72 divisors (see below), whose sum is σ = 1166780160. Its totient is φ = 131870592.

The previous prime is 420354013. The next prime is 420354037. The reversal of 420354036 is 630453024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420354037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3805 + ... + 29243.

It is an arithmetic number, because the mean of its divisors is an integer number (16205280).

Almost surely, 2420354036 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 420354036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583390080).

420354036 is an abundant number, since it is smaller than the sum of its proper divisors (746426124).

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

420354036 is a wasteful number, since it uses less digits than its factorization.

420354036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25475 (or 25461 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 420354036 is about 20502.5373063921. The cubic root of 420354036 is about 749.0976026742.

The spelling of 420354036 in words is "four hundred twenty million, three hundred fifty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 2754 4131 5508 8262 16524 25439 50878 76317 101756 152634 228951 305268 432463 457902 686853 864926 915804 1297389 1373706 1729852 2060559 2594778 2747412 3892167 4121118 5189556 6181677 7784334 8242236 11676501 12363354 15568668 23353002 24726708 35029503 46706004 70059006 105088509 140118012 210177018 420354036