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421401040 = 24513738449
BaseRepresentation
bin11001000111100…
…001000111010000
31002100221101112221
4121013201013100
51330334313130
6105452030424
713304564314
oct3107410720
91070841487
10421401040
111a6962925
12b9162414
13693c5638
143dd75b44
1526ede87a
hex191e11d0

421401040 has 40 divisors (see below), whose sum is σ = 986934600. Its totient is φ = 167325696.

The previous prime is 421401037. The next prime is 421401047. The reversal of 421401040 is 40104124.

It can be written as a sum of positive squares in 4 ways, for example, as 166464 + 421234576 = 408^2 + 20524^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421401047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8265 + ... + 30184.

It is an arithmetic number, because the mean of its divisors is an integer number (24673365).

Almost surely, 2421401040 is an apocalyptic number.

421401040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421401040 is an abundant number, since it is smaller than the sum of its proper divisors (565533560).

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

421401040 is a wasteful number, since it uses less digits than its factorization.

421401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38599 (or 38593 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 421401040 is about 20528.0549492639. The cubic root of 421401040 is about 749.7190295688.

Adding to 421401040 its reverse (40104124), we get a palindrome (461505164).

The spelling of 421401040 in words is "four hundred twenty-one million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 38449 76898 153796 192245 307592 384490 615184 768980 1537960 3075920 5267513 10535026 21070052 26337565 42140104 52675130 84280208 105350260 210700520 421401040