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421000032 = 2531131972
BaseRepresentation
bin11001000101111…
…111001101100000
31002100012000110210
4121011333031200
51330234000112
6105435254120
713301304225
oct3105771540
91070160423
10421000032
111a6709612
12b8baa340
13692b4c5b
143dcad94c
1526e60b3c
hex1917f360

421000032 has 72 divisors (see below), whose sum is σ = 1120593096. Its totient is φ = 138385408.

The previous prime is 421000031. The next prime is 421000049. The reversal of 421000032 is 230000124.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 420999981 and 421000017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421000031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2136958 + ... + 2137154.

It is an arithmetic number, because the mean of its divisors is an integer number (15563793).

Almost surely, 2421000032 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 421000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560296548).

421000032 is an abundant number, since it is smaller than the sum of its proper divisors (699593064).

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

421000032 is a wasteful number, since it uses less digits than its factorization.

421000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 421000032 is about 20518.2853084755. The cubic root of 421000032 is about 749.4811415751.

Adding to 421000032 its reverse (230000124), we get a palindrome (651000156).

The spelling of 421000032 in words is "four hundred twenty-one million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 197 226 339 394 452 591 678 788 904 1182 1356 1576 1808 2364 2712 3152 3616 4728 5424 6304 9456 10848 18912 22261 38809 44522 66783 77618 89044 116427 133566 155236 178088 232854 267132 310472 356176 465708 534264 620944 712352 931416 1068528 1241888 1862832 2137056 3725664 4385417 8770834 13156251 17541668 26312502 35083336 52625004 70166672 105250008 140333344 210500016 421000032