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31421000 = 2353132417
BaseRepresentation
bin111011111011…
…1001001001000
32012010100111202
41313313021020
531020433000
63041243332
7531034262
oct167671110
965110452
1031421000
1116811076
12a633548
136681a10
14425cb32
152b59dd5
hex1df7248

31421000 has 64 divisors (see below), whose sum is σ = 79213680. Its totient is φ = 11596800.

The previous prime is 31420969. The next prime is 31421009. The reversal of 31421000 is 12413.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2669956 + 28751044 = 1634^2 + 5362^2 .

It is not an unprimeable number, because it can be changed into a prime (31421009) 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, 11792 + ... + 14208.

Almost surely, 231421000 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 31421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39606840).

31421000 is an abundant number, since it is smaller than the sum of its proper divisors (47792680).

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

31421000 is a wasteful number, since it uses less digits than its factorization.

31421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 31421000 is about 5605.4437826099. The cubic root of 31421000 is about 315.5537417148.

Adding to 31421000 its reverse (12413), we get a palindrome (31433413).

The spelling of 31421000 in words is "thirty-one million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2417 2600 3250 4834 6500 9668 12085 13000 19336 24170 31421 48340 60425 62842 96680 120850 125684 157105 241700 251368 302125 314210 483400 604250 628420 785525 1208500 1256840 1571050 2417000 3142100 3927625 6284200 7855250 15710500 31421000