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420841560 = 233514923537
BaseRepresentation
bin11001000101011…
…000100001011000
31002022212222002110
4121011120201120
51330213412220
6105432032320
713300044216
oct3105304130
91068788073
10420841560
111a6610547
12b8b326a0
136925aa99
143dc6bcb6
1526e2dbe0
hex19158858

420841560 has 64 divisors (see below), whose sum is σ = 1271052000. Its totient is φ = 111466496.

The previous prime is 420841517. The next prime is 420841601. The reversal of 420841560 is 65148024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6112 + ... + 29648.

Almost surely, 2420841560 is an apocalyptic number.

420841560 is a gapful number since it is divisible by the number (40) 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 420841560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635526000).

420841560 is an abundant number, since it is smaller than the sum of its proper divisors (850210440).

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

420841560 is a wasteful number, since it uses less digits than its factorization.

420841560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23700 (or 23696 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 420841560 is about 20514.4232187990. The cubic root of 420841560 is about 749.3870903699.

Adding to 420841560 its reverse (65148024), we get a palindrome (485989584).

The spelling of 420841560 in words is "four hundred twenty million, eight hundred forty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 596 745 894 1192 1490 1788 2235 2980 3576 4470 5960 8940 17880 23537 47074 70611 94148 117685 141222 188296 235370 282444 353055 470740 564888 706110 941480 1412220 2824440 3507013 7014026 10521039 14028052 17535065 21042078 28056104 35070130 42084156 52605195 70140260 84168312 105210390 140280520 210420780 420841560