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420550144 = 297216763
BaseRepresentation
bin11001000100010…
…001011000000000
31002022100011100021
4121010101120000
51330130101034
6105421503224
713264421500
oct3104213000
91068304307
10420550144
111a6431603
12b8a11b14
1369188251
143dbd3a00
1526dc26b4
hex19111600

420550144 has 60 divisors (see below), whose sum is σ = 977525604. Its totient is φ = 180225024.

The previous prime is 420550139. The next prime is 420550157. The reversal of 420550144 is 441055024.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16707 + ... + 33469.

Almost surely, 2420550144 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 420550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488762802).

420550144 is an abundant number, since it is smaller than the sum of its proper divisors (556975460).

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

420550144 is an equidigital number, since it uses as much as digits as its factorization.

420550144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16795 (or 16772 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 420550144 is about 20507.3192787356. The cubic root of 420550144 is about 749.2140768689.

It can be divided in two parts, 420 and 550144, that added together give a square (550564 = 7422).

The spelling of 420550144 in words is "four hundred twenty million, five hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 3136 3584 6272 12544 16763 25088 33526 67052 117341 134104 234682 268208 469364 536416 821387 938728 1072832 1642774 1877456 2145664 3285548 3754912 4291328 6571096 7509824 8582656 13142192 15019648 26284384 30039296 52568768 60078592 105137536 210275072 420550144