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421400560 = 24571574793
BaseRepresentation
bin11001000111100…
…000111111110000
31002100221100220011
4121013200333300
51330334304220
6105452024304
713304563030
oct3107407760
91070840804
10421400560
111a6962529
12b9162094
13693c5359
143dd758c0
1526ede65a
hex191e0ff0

421400560 has 80 divisors (see below), whose sum is σ = 1127088576. Its totient is φ = 143529984.

The previous prime is 421400557. The next prime is 421400569. The reversal of 421400560 is 65004124.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421400569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85524 + ... + 90316.

Almost surely, 2421400560 is an apocalyptic number.

421400560 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 421400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563544288).

421400560 is an abundant number, since it is smaller than the sum of its proper divisors (705688016).

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

421400560 is a wasteful number, since it uses less digits than its factorization.

421400560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 421400560 is about 20528.0432579435. The cubic root of 421400560 is about 749.7187449110.

Adding to 421400560 its reverse (65004124), we get a palindrome (486404684).

The spelling of 421400560 in words is "four hundred twenty-one million, four hundred thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 157 280 314 560 628 785 1099 1256 1570 2198 2512 3140 4396 4793 5495 6280 8792 9586 10990 12560 17584 19172 21980 23965 33551 38344 43960 47930 67102 76688 87920 95860 134204 167755 191720 268408 335510 383440 536816 671020 752501 1342040 1505002 2684080 3010004 3762505 5267507 6020008 7525010 10535014 12040016 15050020 21070028 26337535 30100040 42140056 52675070 60200080 84280112 105350140 210700280 421400560