Search a number
-
+
420035952 = 24371250107
BaseRepresentation
bin11001000010010…
…011110101110000
31002021101001000010
4121002103311300
51330012122302
6105402454520
713260150420
oct3102236560
91067331003
10420035952
111a6110256
12b8804440
13690381ab
143dadc480
1526d2016c
hex19093d70

420035952 has 40 divisors (see below), whose sum is σ = 1240107136. Its totient is φ = 120010176.

The previous prime is 420035947. The next prime is 420035963. The reversal of 420035952 is 259530024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624718 + ... + 625389.

Almost surely, 2420035952 is an apocalyptic number.

420035952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420035952 is an abundant number, since it is smaller than the sum of its proper divisors (820071184).

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

420035952 is a wasteful number, since it uses less digits than its factorization.

420035952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250125 (or 1250119 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 420035952 is about 20494.7786521348. The cubic root of 420035952 is about 748.9086063614.

Adding to 420035952 its reverse (259530024), we get a palindrome (679565976).

The spelling of 420035952 in words is "four hundred twenty million, thirty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1250107 2500214 3750321 5000428 7500642 8750749 10000856 15001284 17501498 20001712 26252247 30002568 35002996 52504494 60005136 70005992 105008988 140011984 210017976 420035952